If not, then where did Shakespeare('s Horatio) pick it up? Or is he, as we're used to say on this subreddit, full of shit? The claim is made in Hamlet I,i,l.131f. just as the late king's ghost has stalked past some sentries.
If you mean are there stories of supernatural things happening on the night before the Ides of March, yes those are reported. Plutarch reports men apparently on fire without burning, sacrificial victims discovered without hearts, Caesar's wife Calpurnia had bad dreams which were taken as omens, which Caesar apparently expiated before going to the Senate that morning, the famous seer who said the Ides have not gone.
Whether these things happened, or how Plutarch got this information? Who knows. That Calpurnia had a bad dream and Caesar expiated it seems reasonable. The seer, well there WAS a conspiracy and he might have heard about it. Plutarch says the conspiracy was betrayed and a written warning delivered to Caesar, but he didn't read it. Someone might have told the seer. Suetonius reports these things too.
Sacrificial victims without hearts? Men on fire without burning? Those sound like standard monstrosities that appear in the priestly records Livy used. Doesn't mean they happened.
I don't know of any story of ghosts appearing in the city the night before the assassination.