So what I presume you to mean is whether the dates cited in Roman calendars when particular events happen match up in equivalent solar positioning with our modern calendars.

The answer is no. The Ides of March, i.e. March 15, is recorded as just that. However the equivalent position of the sun in the sky at noon would likely not be the same as our current March 15, which has been set according to the Gregorian rather than the previous Julian calendar, and also Julian calendars didn't count leap days in the same way we do now.

Theoretically, it would be possible to adjust historical calendars to do so, but then you'd have to bracket that date alongside the one in the historical record, and then you'd have to ask the question "well then, what would be the point?" Why have a fetish on solar positioning for historical dates?

Literally the only reason I can think of for doing so is if you wanted to establish a specific ritual of remembrance that prioritizes historical events by solar positioning.

And if that's what you want, go nuts, but it would mark you out as a person with an excessive adherence to a particular form of remembrance, rather than someone who was "more accurate", which I believe was your original goal in asking this question.

So this begs the question, when according to our contemporary calendar, was the ides of March?