Yes, if you itemize (or the donations are otherwise deductible) on your state return.
If you're taking the standard deduction on your federal return, make sure that you input all charitable donations in the federal portion of the TurboTax program, anyway.
Then, if your state allows deductions for these donations, and you're not required to claim the standard deduction on your state return, these donation amounts will flow over to your state return.
