Only in theory. A Reuleaux triangle would need to be connected to an axle which is connected to the thing being moved. If it's on vehicle or trailer you have one on each side. The axle needs to go up an down 3 times per circle revolution.

If the wheels on each end of an axle aren't perfectly aligned the up and down motion won't be the same on each side. The speed of the up and down motion while moving down a modern road would be very fast. This would wear our parts far more quickly.

Theory and practical implications don't always line up. In practice it's not more optimal when applying to every day real world application.