Possible to Recess Over the Range Microwave Into Wall

I bought a low profile over the range microwave that is 30″ wide and 18″ inch deep. My cut out area is 30″ wide and 14″ deep. My wall has brick veneer over drywall. Is it possible to cut out the veneer and drywall and attached the wall mounting plate directly to the raw studs, to save an inch or so? Alternatively, is it even possible to reframe the stud area someway to push the microwave even farther back (with the goal of making the face flush with the cabinetry)?