Consider the following premises. For all x_5, x_5 is a writer. For all x_5, x_5 is not a writer. There is at least one x_5 for which x_5 is happy. Can we infer the following from them? For all x_5, either x_5 is happy or x_5 will play squash are not true.
The premises are contradictory and we can infer anything from them. Therefore, the answer is yes.