After you file

I would say No..... my return was accepted the same day as submitted, but they still haven't taken the money from the bank account for taxes due.  The reply I received from someone at Turbo tax was it will happen when the return is actually "processed".  I have always assumed process meant they reviewed it, checked it for errors, and when all was correct then say it was processed and started with the refund or in my case payment.
Back in the old days when you completed your tax return by hand and mailed in the forms with your payment, they would deposit the check immediately and process the return at a later time.   The Turbo Tax employee is saying they now accept the payment when the return itself is processed rather than received.