No, you will not be able to e-file your MI state income tax return until the IRS and MI agencies begin accepting forms. Your tax returns will remain securely on the TurboTax server until then.
The Internal Revenue Service confirmed that the nation's tax season will start for individual tax return filers on Monday, January 27, 2020, when the tax agency will begin accepting and processing 2019 tax year returns.
Please note: The IRS and the state of MI don't have all of the forms finalized. Please see the following TurboTax FAQ's:
State forms availability table for TurboTax individual (personal) tax products.