Are you referring to product fees and asking if you can pay your TurboTax fees directly out of your bank account using an electronic ACH transaction? If so, the answer is no, there is not a direct debit option to pay fees.
Or are you asking if you can use a debit card? If so, the answer is yes, you can use a debit card.
You can pay TurboTax fees with a credit card, debit card, or a prepaid debit card you can buy in a store. While it is also possible to pay the fees out of your Federal refund, there is an additional 39.99 service fee (44.99 for California filers) for that payment option.