I'm not aware of any blanket ban on UAS in NYC, either by local law or FAA, unlike for example, the DC FRZ. However, the rules and guidelines for safe operation still apply. And if you want to follow those rules, cruising around city streets and parks full of people, cars, and homes would not be advisable.
There are others here who know the commercial requirements much better than I do. So I'm not even going to try.