Let’s prove a house can fly. With engineering and extraordinary lifting power, we have proof of floated and craned houses. Enjoy the possibilities!
Floated Houses: After Pixar’s Up! movie, we all wanted our little homes to soar and here’s evidence that balloons work. However suspending a home with some wires will need additional study.

National Geographic filmed a lightweight house and weather balloons reaching 10,000 ft. before landing. (Youtube)

A Paris photographer wished that a typical French home could suspend in mid-air. Not a chance! (Laurent Chehere)
Craned Houses: Much more common, prefab homes get delivered by truck and then take short flights. These modules are raised by monster cranes and carefully placed on properties.