Lot of variables here. What kind of house being moved/how far/over/through what obstacles. Not kidding here-literally, you've got to be sure the overpasses and overhead power lines are high enough and the roadways are wide enough for you to make the move. When you get it to its destination, presumably you will need a foundation and all the infrastructure to set it.
On the one hand, it is less risky than a construction mortgage from the ground up. But it does have its own risk management issues.
Typical loan officer won't have a clue.