Consider the following premises. There is at least one x_1 for which if x_1 were a lawyer, then x_1 is a carpenter. For all x_1, if x_1 were a carpenter, then x_1 is a lawyer. Can we infer the following from them? For all x_1, the fact that x_1 were a carpenter does not imply that x_1 is a lawyer.
That contradicts the premises. Therefore the answer is no.