I want to defy convention so I'm going to wear no clothes to Central Park.
I do not think that is legal to do.
I have a friend who did it and he ended up getting arrested.
Disobeying society in this situation will get you arrested, as you already know. I think you should not do this at all.
Even though he got arrested, I still want to do it.
Not only is it illegal but you could come across a child and they would be exposed to your naked body. That would be traumatizing for the child, so don't do it.