Federal and state are completely separate. And the date Turbo Tax gives you is just an estimated date of 21 days. Check for a state refund https://ttlc.intuit.com/community/refund-status/help/how-do-i-track-my-state-refund/00/25571
Make sure you are using the refund amount from your actual state tax return and not the combined amount Turbo Tax showed you at the end. That was for federal and state combined.
