I answered this same question in another comment. Copy pasting:
As to when you stop with the right of self-determination, in the case of Catalonia, from a cultural, language, and historical point of view, there's enough reasons for a referendum to be held (given the discontent of the population). There's a similar situation with Quebec, for example. As far as I know, there's nothing about New York --language, history, or culture-- that would warrant a referendum, and there's certainly no reason for you as an individual to do so (you don't even have the basic political institutions).