Early cars and planes were made out of wood. So, I see no reason why not. The mosquitto which was one of the most successful planes in WW II was made out of ply

Early cars and planes were made out of wood. So, I see no reason why not. The mosquitto which was one of the most successful planes in WW II was made out of plywood, which you could think of as an early form of CLT. A lot of modern cars are made with a lot of composite materials that probably have better properties. But I imagine CLT could work well for things that are currently made out of steel or aluminium on such cars. I'm not sure if there's a big advantage to doing that in terms of strength, weight, or durability though. Aluminium might be lighter. And composite materials provide better strength and weight.