No, it does not mean your refund will be in your bank.  When your return gets accepted, The IRS has accepted your return, which means that your return has passed the basic identity verification.  You can check the status of your Federal refund on the IRS website,  Where's My Refund, updates only once a day.

https://www.irs.gov/refunds

 

If you have a state refund, see the following:

 

How do I track my state refund?

https://ttlc.intuit.com/community/refund-status/help/how-do-i-track-my-state-refund/00/25571