Not easily. But, you could either have a workflow run on a trigger that if a change is made then an approval would be sent out, however, this requires the change to have already taken place which is sort of cart before the horse... Alternatively, you could lock the bank details except for a field called new bank details. The users can then enter that info into that field which would be routed to the approval queue and after the approval that data be translated to the correct destination and the editable field be cleared.