Theoretically yes, but you may stir up junk you don't want getting into the water and causing ammonia( mini cycle). Turn off all your filtration and power heads; do it slow so as to not stir up anything. How big is the tank?
I would think the easiest way is to do it the day you move. Drain all your water into 5 gallon buckets. Put your fish and corals into these buckets for the time being. Just toss all the crushed coral out once your tank it empty of fish, rock, coral, and water. replace it with sand once the tank is set up in your new location. Add water slowly by placing the lid of the 5 bucket onto the sand to act as a deflector to minimize the sand storm when you're pouring water in.