Not necessarily, you may be able to e-file still, but perhaps not right now.
Several states have some form types that are not fully ready for being able to E-file them yet.
Folks in NC, cannot e-file anything to NC until 24 Feb, or after, even if you've entered everything possible (unless TTX changes the date again). They just won't take your e-filed forms yet.
So it may depend on what state you are attempting to file to...and what "state" tax forms happen to be in yoru tax file this year.
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the "expected" state forms availability lists can be found here:
State forms availability table for TurboTax individual (personal) tax products (intuit.com)