Possibly. The standard deduction for federal taxes if you are claimed as a dependent is your earned income plus $350 up to $12,000. In NYS if you are a dependent it is $3,100.
If not claimed as a dependent, the federal standard deduction is $12,000 and the NY standard deduction is $8,000.
This means that it is possible to have taxable income in New York but not for the federal taxes.
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