You can e-file if you e-filed your federal return. Did you e-file your federal return? If you did not e-file your federal return, you can't e-file your state return(s).
Is there another reason it is showing as to why you can't e-file? If TurboTax can't e-file your return, NYS will exempt you from the e-file requirement. You're required to electronically file your return if you meet all three of the following conditions:
- you use software to prepare your own personal income tax return; and
- your software supports the electronic filing of your return****; and
- you have broadband Internet access.
If the software doesn't support e-filing your return, you are not required to e-file your NY return. See here.