Yes. If you were a resident of New York you only pay tax on income you received while being a resident. You will need to file a New York State part-year resident return.
As @rjs stated, the information on your W-2 must be reflected on the return how it shows on the W-2. Interest Income, Social Security Income, and Pension Income is taxed based on what income was earned during your time as a residence of New York.
TurboTax can help you with these calculations. TurboTax will help you allocate the percentage correctly based on the entries you select during setup.
Here is a link for how to fill out a New York State part-year resident return:
New York Part-Year Resident Return
@sledhead1966
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