Yes, no problem!
You will not have to remove your back protector if you are using one of our full back cases. Simply install our case without removing the back protector and you are good to go!
Please be aware that it will slightly reduce the bezel of the case on the front side. However, the bezel should still prevent the screen from direct contact with a flat surface. Please note that the alignment of the speaker holes might also be a bit off (but very hardly noticeable).