Consider the following premises. There is at least one x_7 for which x_7 will take a plane or x_7 will not drive a car. For all x_7, x_7 is a cashier or x_7 will not take a plane. Can we infer the following from them? For all x_7, the fact that x_7 drives a car does not imply that x_7 is a cashier.
That contradicts the premises. Therefore the answer is no.