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
