Do you mean the Turbo Tax fees were suppose to be deducted from your federal refund? Yes they can charge your bank account.
If the IRS is taking too long to send your refund they will ask you to pay the fees, see What happens if the IRS reduces my refund
https://ttlc.intuit.com/community/payments/help/what-if-my-federal-refund-isn-t-enough-to-cover-my-t...
