Can I deduct student loan interest in the New York State returns?

New York has no separate deduction for student loan interest.  New York accounts for student loan interest by using federal AGI.  Thus, if you did not qualify for the interest deduction on your federal return, you won't be able to get a benefit from it on your state return.  

Here is a quick guide to NY education tax benefits available either through NY or the Federal government.

https://www.hesc.ny.gov/repay-your-loans/managing-your-loans/tax-credits-deductions.html