When I click file my tax will they pay my state tax I owe out of my federal tax?

NO.

Your state tax due cannot be paid from your federal refund. 

It is not possible to pay your state tax due from your federal refund, nor is it possible to pay a federal tax due from a state refund.  The federal and state treasuries are completely separate from each other.  You may have seen a TurboTax summary of your federal and state amounts that confused you into thinking one was “paying” the other.  It is not. The ONLY thing you can pay for from a federal refund is your TurboTax fees if you chose that option.  

 If you have federal tax due you can pay by mailing your payment with the 1040V voucher, (which has the address printed on it, having the payment taken out of a designated bank account, or you can pay directly on the IRS website. 

https://www.irs.gov/payments/direct-pay 

https://ttlc.intuit.com/community/tax-payments/help/how-can-i-pay-my-federal-taxes/00/26212

https://ttlc.intuit.com/community/tax-payments/help/how-do-i-pay-my-irs-tax-due-with-a-check-or-money-order/00/26403 

You must pay your state tax due using the state’s preferred method of receiving payment.  For most states that will be by making a payment to the state’s own tax website, or by mailing a check or money order.

https://ttlc.intuit.com/questions/1900884-what-are-my-options-for-getting-my-state-refund-or-for-paying-any-state-taxes-i-owe

https://ttlc.intuit.com/questions/1901670-how-do-i-contact-my-state-department-of-revenue

No, taxes owed can Never be paid from a tax refund, federal or state.

In the File section of the program on Step 2, when taxes are owed, you were given options on how to pay the taxes owed, paying with a refund was Not one of those options.  You could not have filed your tax return without choosing how to pay the taxes owed.  What did you choose?

No.  Your state taxes due cannot be taken out of your federal refund.  You must pay them separately.  In TurboTax you will enter your payment methods separately for state and for federal.