No, you do not have to wait to file your state return. If your federal return was accepted, you can e-file it. If you did not e-file it at the same time as your federal return, though, you will still have to pay the fee to file it. That fee cannot be deducted from your federal refund since you did not file them at the same time.
https://ttlc.intuit.com/community/payments/help/what-forms-of-payment-does-turbotax-online-accept/00...
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