Are you a Georgia resident? If you did not receive income for there, why are you filing a state return?
Yes, you can delete your state return in TurboTax Online as long as you haven't paid or registered yet.
If you don't see the option to delete your state (you'll probably see Edit instead), you've already paid your TurboTax fees (including the state fee) or registered your free version while the state was on your return. If you've done either of these things, you can't delete your state return.
If you did not have any Georgia-sourced income, you do not have to file a GA return.
TurboTax CD/Download
TurboTax Online
You can delete your TurboTax Online state return as long as you haven't paid for it yet (or registered in a free version):
If you don't see the Edit or Delete button on the Status of Your State Returns screen and haven't paid or registered, please do the following: