No you can not have the state tax due deducted from your federal refund.
https://ttlc.intuit.com/questions/2402584-can-i-pay-my-state-taxes-from-my-federal-refundYou can only have the Turbo Tax fees for state deducted from your federal refund. And there is an Extra 39.99 Refund Processing Service charge to have the fees deducted. So try to pay with a credit card to avoid the extra charge.
How to review your fees
https://ttlc.intuit.com/questions/2565973-how-do-i-review-my-fees-in-turbotax-online You can remove the extra fees, For help with fees,
https://ttlc.intuit.com/replies/3301994 You will still need to pay state tax due Yourself.
