I got off with TurboTax support and they said they were aware of issues e-filing and that they were working on it and talking with other tax agencies. Granted that is not very helpful in explaining the problem - it may indicate the issue is on the e-file side and not TurboTax (assuming that is true).
After doing some digging I think what the issue may be (pure speculation of course) is that while the IRS and Federal opened up e-filing on Jan. 24 - some of the states have delayed their acceptance dates for e-filing. Presuming that TurboTax does a system check to ensure it can reach the servers for both federal and your state, the inability to do either would trigger a fail condition. That said, the wording of the error is not great, so this could be completely wrong.
Don't know if links show up, but here is an example of a state that is delayed until 'Mid-February'
https://www.ncdor.gov/what-expect-when-filing-taxes-year
