Yes, you are required to file a New York nonresidential tax return because you worked in New York and have New York sourced income.
New York and New Jersey are not reciprocal states in that there is no agreement between the two states that allows residents of one state to request exemption from tax withholding in the other (reciprocal) state.
Some states do not require you to file a state tax return if you owe no money, but New York is one of the states that requires you to file a New York State tax return if you had any income during your resident period or if you had New York source income during your nonresident period,
Click here for states with reciprocal tax agreements.
Click here for "What is a State Reciprocal Agreement?"
Click here for "Do I need to FIle a State Income Tax Return?"
Click here for "Who Must File, New York.
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