If you are talking but relocating cat to a new home, yes. You have to take care in doing so, but it is done all the time. Here is a link that can help you.
pets.webmd.com/cats/guide/moving-new-home-cat
Can old cats move house successfuly?
Well .. Me thinks that really depends on what you mean by moving a house. Don't see too many driving a flat bed with a house on it .. I would think their legs are far too short to reach the pedals.