Consider the following premises. For all x, x is a sailor or x is not a taxi driver. For all x, if x cooks, then x is playing squash. For all x, if x were a sailor, then x is cooking. There is at least one x for which if x plays squash, then x is a poet. Can we infer the following from them? For all x, the fact that x were a taxi driver does not imply that x is a poet.
That contradicts the premises. Therefore the answer is no.