Yes. Please see New York Nonresident Tax Forms Instructions, page 24, under Line 14, Unemployment Compensation (quoted below, different font to show direct quote):
New York State amount column
Enter that part of the federal amount that represents taxable
unemployment compensation received as a nonresident resulting
from employment in New York State. If the unemployment
compensation received from New York State sources is based
on wage or salary income earned partly in and partly out of
New York State, determine the amount allocable to New York
State in the same manner as the wage and salary income on
which it is based. (Italics added above)
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