Dont know for sure without seeing pics. It might be possible to make a new face frame two inches shorter with new cabinet doors to fit.
Thanks Obi.....it looks like we could shave the "lip" (sorry I don't know carpentry terminology) off the cabinet and the opening will be EXACTLY 69 3/4 inches from the floor. The highest point of the fridge is 69 3/4 inches....and that goes for just about ALL of the models that are 35 inches wide and 20ish cubic feet.
The fridges that are 68 1/2 inches are only 32 inches wide. I had no idea it would be an issue. There is already no tile in the opening where the fridge goes....so there is no getting room there.