You are posting from Deluxe, so not, you cannot prepare your state return for free using TurboTax. If you used Deluxe for your federal there is a charge to prepare a state return. You could go to the state's website and get the forms and prepare the state yourself. Have a paper copy of your Federal return handy.
https://ttlc.intuit.com/questions/1901670-how-do-i-contact-my-state-department-of-revenue
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