Consider the following premises. For all z, z is a taxi driver if and only if z will drive a car. For all z, z is not a taxi driver. There is at least one z for which z will take a plane if and only if z is a nurse. For all z, z will drive a car if and only if z will take a plane. Can we infer the following from them? There is at least one z for which z will take a plane if and only if z is a nurse.
That is one of the premises. Therefore, the answer is yes.