The amount of your refund isn't related to whether or not you have to actually file a tax return.  New York generally requires you to file a tax return if you were required to file a federal return.

Review this link first -

https://www.tax.ny.gov/pit/file/do_i_need_to_file.htm

Then, review the federal filing requirements -

https://ttlc.intuit.com/replies/3302274