the more inelastic the supply of self-driving trucks, the more inelastic the demand for truck drivers?
More inelastic the supply of self-driving trucks implies that the truck sellers are not much responsive to the price changes. The quantity sold by them is not much affected by the changes in the prices. So if prices change by a small margin there is not much effect on the quantity sold of the trucks.
Now, does this inelasticity on the part of truck sellers impact the elasticity of demand for truck drivers?
No. Elasticity of demand has nothing to do with the elasticity of supply. The elasticity of supply essentially tells us how responsive are the consumers to the changes in the prices of the truck. So, it will tell you how much % the quantity demanded changes as a result of a change in the prices. So, whether suppliers are responsive to the price changes or not do not have to do anything with the responsiveness of consumers towards the prices. It is their individual behavior.
Thus, Statement given is FALSE.