No. If you have a message that states the state return is incomplete then it has not been e-filed. Use this website to check the status of an e-filed tax return - https://shop.turbotax.intuit.com/efile/efile_status_lookup.jsp
If you have e-filed the federal tax return then the state return cannot be e-filed until the federal return has been accepted by the IRS. The IRS will not be accepting any 2016 tax returns until January 23. TurboTax will send you an email when the federal tax return has either been accepted or rejected by the IRS.
Your state return may not have all the forms and schedules included in the return available for filing. See this TurboTax support FAQ for state forms availability - https://ttlc.intuit.com/questions/1908857-state-forms-availability-table-for-turbotax-individual-per...