For E-filing one and not the other:
The answer is a yes and a no, depending on which you wish to E-file now and wait for the other.
You cannot E-file your State Return before your Federal E-file has been accepted.
If you wish to E-file only your Federal now and wait on your State, you can do so. However, you need to make sure you make the correct filing elections in the "Filing" section AND also make sure that you've received notice via email that your Federal Return has been accepted. Otherwise, if your Federal Return has not yet been accepted by the IRS then your State will not be accepted by your State.
