If you had any income from any source during the time you were a New York resident (or any New York-source income after you moved away), then you would have to file a part-year resident New York tax return. You can find more details here:
https://www.tax.ny.gov/pit/file/do_i_need_to_file.htm
**Answers are correct to the best of my ability but do not constitute tax or legal advice.
