In a single word: Absolutely! The relationship between the young USA and Revolutionary France is a fascinating one filled with all the kinds of lovely chaos that the Revolutionary period is known for.

I'll start with sources. A great place to start the hunt for sources and correspondence is here: https://founders.archives.gov/

The US has always been fairly meticulous in collecting and archiving the OFFICIAL correspondences between foreign envoys and their leaders, so a wealth of delightful sources is found herein.

A sample of one correspondence that I will use as an example in the rest of this answer is here: https://founders.archives.gov/documents/Washington/05-13-02-0288

I've chosen this source mostly because the story contained inside touches on so many of the challenging aspects of diplomacy with the French Republic. Plus it's a really fun story! Full of scandal and chaos and fun in such a way that makes this period of late enlightenment early romantic era quite a joy for me.

This source is a letter from the so called 'Citizen Genêt' (Edmond Charles Genêt), the French Ambassador to the US for a ludicrously short period of time.

Some Needed Background: During the period where the radicals began to acquire power following the execution of the king and the so called 'Second Revolution' of 1792 led by Danton, the French Government became split into two parts, the Girondists and the Jacobins, yes those Jacobins. The basic tenets of these two groups are fun, but for the sake of briefness it is enough to say that the Girondins took an early lead in leadership.

They appointed a certain Edmond Genêt as the Ambassador to the United States. Genêt had been something of a career ambassador before this point, spending much of his time embarrassing the French Crown with his open disdain for monarchy as a member of the diplomatic staff in Russia. Catherine the Great requested in 1792 that he be declared Persona non Grata and removed to France as his actions and general personality had become intolerable.

Little did the republic know that this would become a pattern with him...

As we all know, 1792 was quite the year for the French Republic, a year that saw the rise of the more radical factions within the french government that I stated earlier. As Genêt returned to Paris he became something of a delight to this ferociously anti monarchical government, someone so committed to Republican principles that the great absolutist herself despised and feared him! Or so went the marketing he set up for himself. His arrival in Paris with this wave of sentiment made him an obvious choice to the Girondins for the position of Ambassador to the USA, and off he went!

He landed in Charleston, South Carolina in April 1793, which in itself was something of a light scandal among the Americans. This was made even more notable when rather than making his way to the then-capital in Philadelphia he stayed in Charleston! It is no exaggeration to say that weeks of partying followed. He was an absolute sensation, his radical republicanism disposed him well the the South Carolinians and they responded in kind, throwing many parties celebrating the arrival of a representative from one enlightenment republic to another! It seemed like the new world was arriving and that it would be more free and enlightened than ever! The ancient(well... several years old) friendships built by Lafayette were alive and well between the French people and the American people. Over the course of the next month he slowly made his way up the coast towards the capital, recruiting volunteers and ships for the wars the republic was fighting back in Europe, and encouraging the development of Jefferson's Democratic Republican faction, deeming the proto-party the best way to acquire enthusiastic recruits rather than through the Federalists more pragmatic and well off supporters.

In early May Genêt requested formal military aid fro. The united states, calling in the favor that France had done by basically winning the war of independence for the Americans! But this request was denied. In response Genêt accepted the ruling and disbanded his volunteers.... except that he obviously did no such thing. He took his raised army and sent it marauding and intercepting British shipping while preparing to send American volunteers all across the new world to take over British possessions.

Washington sent a famously long letter complaining about this, probably in reality written by Jefferson and Hamilton together. The response from Genêt was the source that I listed at the top of this answer. Leveraging his popular support as Citizen Genêt he began turning the american people towards supporting the actions of France, and a stalemate held as the US government and the French Ambassador fought over foreign affairs. George Washington at the height of this fight sent a request that Genêt be removed from his post to France, but by the time it arrived there had been another overturn in France. The Reign of Terror was just beginning to peek its head from behind a curtain and the Jacobins had come into power. As a staunch Girondin, Genêt was terrified of going back to France, fearing his death as the Girondins back in France had begun to fight a civil war to keep power and as a result were being guillotined by the dozen.

Genêt accepted the loss of appointment but went to washington and requested asylum, knowing that certain death awaited him. The personal disdain that most of the US government had acquired for Genêt made this a dicey proposal but Alexander Hamilton managed to convince the cabinet that it was important to grant this Asylum.

Later in life Genêt would continue living in America, writing screeds in various newspapers against Jeffersons faction as he viewed it to be anti Republican in nature due to its agricultural focus, but that is an entirely other story.

So as you can see we know the goings on of the French and US foreign relations in quite extreme detail! We know most of the people who made most of the decisions at most points in the story. And indeed the story is quite scandalous and complex.

Following the fall of the Jacobins, the Americans would remain studiously neutral, knowing that proper involvement in any European war would likely spell the end of their republic and independence. Hard as it is for us today to see it, it is quite likely that had europe decided that an independent United States was a danger to the foundations of monarchy as the french radicals were, they likely would have been utterly crushed.