Well, first he was arrested in Texas but Texas released him. Probably because he said he was going to New York. That's sort of Greg Abbott's whole jam - sending as many immigrants to New York as he can.

So then Ibarra found his way to New York, where he was eventually arrested under what appears to be NY PL 260.10(1):

You are guilty of Endangering the Welfare of a Child pursuant to New York Penal Law 260.10(1) if you act knowingly in such a way that is likely to cause an injury to the mental state, person of (physical) or moral welfare of a child. This child must be sixteen years old or younger.

In other words, his crime was probably pretty minor. The charges are consistent with an incident like "He shouted at a child and the kid called the police" or "He got caught buying cigarettes for a kid" or something like that.

So, New York bonded him out, and it looks like he left the state before trial and ended up in Georgia.

No, I don't think there's any way that the Texas or New York District Attorneys (or any other of the probably 20-odd bureaucrats involved in his case) could be charged with a crime. They followed the law and ordinary criminal procedure.