You would still have to initiate a divorce by filing and serving a summons and complaint. Your wife can admit service so that you don't need to spend money on a process server. You can get all the required forms and instructions at your county's supreme court building or online.
This advice is not meant to create an attorney-client relationship and is a general anwer to the question posed.
You can try to do it yourself. You can find the forms on nycourts.gov
I am a former federal and State prosecutor and have been handling criminal defense and personal injury cases for over 17 years. The above answer, and any follow up comments or emails, is for informational purposes only and not meant as legal advice.