Your main concern will be making sure you don't pierce the evaporator and let the coolant out.
With this style of fridge I believe that the evaporator is the bottom of the freezer compartment. If you can get the evaporator loose to where it could swing down so it would be against the back of the fridge you might be able to make it work. That is assuming it has the flexible coolant line coming from the back to the evaporator.