You can use TurboTax to prepare and file your federal return without your state – but not the other way around.
If you already filed your federal return outside of TurboTax and just need to do your state, you can either:
The first option is free; the second option requires payment for both federal and state returns, even though you won't be filing your federal.
If you already filed your Federal Tax Return through TurboTax, you can open that year's program/log in and select "State" and complete your state return. You will not be able to e-file it but you can mail it in following the instructions when you print your return.