Quote Quoting kimg
My question is can I proceed with this divorce without her signature?
Sure. But that would be changing from an uncontested divorce (I assume) to a contested divorce. I understand New York is a "fault" divorce state. So that would mean one of you would have to prove the other was "at fault". And maybe the "at fault" person would get less than half of the marital assets. So it's not a step to be taken lightly.

You might use the threat of a contested divorce to encourage her. Another idea is to bribe her, though a problem with that is that she might seek a larger bribe.