Yes. You can claim a credit on the New York state return for tax paid to Indiana and New Jersey.
TurboTax will compute the credit if you prepare the nonresident states before you prepare the New York return.
On the screen Take a look at New York credits and taxes, look for Taxes Paid to Another State, if the screen does not come up by itself.
Fill in the info if it is not already there. Confirm the numbers if TurboTax filled them in for you.
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