Yes you can. While many plumbing fixtures become part of the home, many people choose to take their water softening system with them when they move. You’ll have to place the system in bypass (which allows hard water to flow through the valve independent of the softener), then disconnect the system. You are also the original purchaser so your warranty will still be in force. Alternatively, some people elect to leave the softening system in the home and sell it with the home and purchase a new one when they arrive at their new home.