Also, TurboTax says that all updates should be done by early April and they'll email me when state taxes are ready to be filed...however, it's still not ready
You can, but your e-filed federal return will need to be accepted before you can e-file your state (or, you can just paper-file your state return later).
Here are two ways to skip your state in TurboTax Online:
Method 1 doesn't require up-front payment for your state, but you'll have to re-enter your state information later. Method 2 saves the work you did on your state return, but requires up-front payment.
Related Information: