It does not look like NY extends the extension from the federal. Please see the articles listed below for more information.
New York
If you cannot file your state tax return on time, you may request an automatic 6-month extension of time to file — however, there is no extension of time to pay. You can apply for a state tax extension online or by using New York Tax Form IT-370 (Application for Automatic Six-Month Extension of Time to File for Individu....
Mail Form IT-370 with payment to:
Extension Request, PO Box 4125, Binghamton, New York 13902-4125
Mail Form IT-370 without payment to:
Extension Request–NR, PO Box 4126, Binghamton, New York 13902-4126
New York State Department of Taxation and Finance website.
File your personal income tax extension online.
See this link to find your state.
https://bit.ly/2GfQy86
https://intuit.me/2UaN7Dx
https://ttlc.intuit.com/replies/3300227
