[aephi alum]

My guess is no. You can make a right on red because you're hardly entering the intersection at all, and there's only one place interference can come from - your left. It's similar if you want to make a left on red from one one-way street onto another (this is legal in New York State as well, with the exception of New York City, where even rights on red are illegal unless there's a sign saying it's ok). But if you're making a U-turn, you have to get pretty far into the intersection to execute the turn, and you can get interference from your left, the oncoming direction, and possibly your right.

Also, if there's a red left arrow (not just a red light but an actual red arrow) you can't even make the left, never mind the U-turn.

However, if you have a green left arrow, it's guaranteed that oncoming traffic and traffic to your right would have a red light, so in that case you can make the U-turn.