If you filed the Federal section separately, you may not be able to efile the state until the IRS "Accepts" your Federal e-file. AND, the IRS is not "expected" to start taking in tax returns until the week of ~22 January.
A state return won't get transmitted until the IRS has first accepted an e-file anyhow, so it doesn't hurt to wait.
IF the IRS "rejects" what you e-filed, then any changes required to fix that could affect your state return too, so it really is best to wait.
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____________*Answers are correct to the best of my knowledge when posted, but should not be considered to be legal or official tax advice.*
