Isn't everybody in NYC already? (The dangers of bad driving are much higher for pedestrians than for people in cars; there are more of the former than of the latter in NYC; I'd expect there to be a non-zero number of fully self driving cars already in the city.)
It does, in a way; AI is already there, all around you, whether you like it or not. Technological progress is Pandora’s box; you can’t take it back or slow it down. Businesses will use AI for critical workflows, and all good that they bring, and all bad too, will happen.
If there are any fully-autonomous cars on the streets of nyc, there aren’t many of them and I don’t think there’s any way for them to operate legally. There has been discussion about having a trial.