If you don't mind the risk of a leak, then by all means move it with substrate & some of the water, along with the fish.
Tanks are designed to hold their contents in a static position. Moving them with anything in them risks stressing a seam, or the glass, resulting in a leak. I've moved bare bottom 10's & 20's with an inch of water, along with fish, but this is in a fishroom, water hitting the floor is nothing new, and I have spare tanks stored empty.
For a tank with substrate in an area that I can't risk a leak, or for a larger tank, put the fish & some tank water in a bucket. Put the substrate & filter media in another bucket, along with some water to keep the media wet. I don't bother keeping any of the tank water, but I do large weekly water changes. You may want to save about half the water.
You now have an empty tank, pull it off the stand, replace the stand, tank, substrate, water, filter, and all the other goodies you may have running or decorating the tank.