It depends. The following website provides guidance on this: https://www.tax.ny.gov/pit/file/nonresidents.htm.
On the webpage, the first point is: You are a nonresident with New York source income and your New York adjusted gross income Federal amount column (Form IT-203, line 31) exceeds your New York standard deduction. (Clicking on links will bring up additional information).
From a technical standpoint, you will not be required to file if you don't have income to report to NY. (While your rental is a loss, it is highly unlikely that it is considered a New York Net Operating Loss if your overall income is in the positive). However, New York is aggressive in enforcing tax law, so you may choose to file a tax return to report the rental loss and keep New York from asking questions on why you didn't file a return this year.
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