When you owe taxes to a taxing authority, be it federal, state, or local, Turbotax does not, can not, and will not act as a middle man in that transaction. There are no exceptions and never has been.
If you did not elect to pay your taxes by credit/debit card, or allowing the IRS (or other taxing authority) to debit a bank account directly, you can pay the IRS online "RIGHT NOW" at www.irs.gov/payments. As for your state, you'll have to check your state's website to see what payment options they offer. Not all states offer online payment.
