I believe I understand what you are asking, but if you have a photo it would be helpful. If I understand correctly though, the answer would be yes.

Thank you, i was wondering if it would be too much "action". It is not installed yet, they are coming to do the te,plate on Wednesday

People do do a full tile back splash on top of a standard 4" stone splash, however, my suggestion would be that doing that tends to look like an after thought. If you would like full tile splash, I would eliminate the 4" quartz. You don't have to do it. You can tell them at template no splash.