Consider the following premises. There is at least one y_1 for which y_1 is a poet or y_1 is not a carpenter. For all y_1, if y_1 were a poet, then y_1 is a carpenter. Can we infer the following from them? For all y_1, the fact that y_1 were a poet does not imply that y_1 is a carpenter.
That contradicts the premises. Therefore the answer is no.