No, you do not since you do not have New York income.
If you were a resident of New York State for only part of the tax year, you are subject to New York State tax on all income you received while you were a resident of the state and on income you received from New York State sources while you were a nonresident.
According to the New York Dept of Revenue:
Part-year residents – New York source income
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For part-year residents New York source income is the sum of the following with adjustments for special accruals as defined on page 48:
1) all income reported on your federal return for the period you are a resident of New York State; and
2) the New York source income for the period you were a
nonresident of New York State.
Here is the link if you want to learn more about New York Taxes:
https://www.tax.ny.gov/pdf/current_forms/it/it203i.pdf
