Yes if you itemize deductions and all your deductions are more than the Standard Deduction.  Or it won't be worth entering.  You are in the Free Edition which doesn't have deductions so you would have to upgrade to a paid version like Deluxe to enter it.

You can deduct any state taxes paid (for any year) or state estimates actually paid in during the year on your  federal return if you itemize deductions.   But just the tax, not any interest or penalties.   If you transferred from last year it might already be filled in.

Enter it under 

Federal Taxes 

Deductions and Credits

Then scroll way down to Estimates and Other Taxes Paid

Other Income Taxes - Click the Start or Update button

Next page scroll way down to the last section, Other Income Taxes Paid