Consider the following premises. For all x, if x were a sailor, then x is an electrician. For all x, if x were a sailor, then x is playing a game. There is at least one x for which if x plays a game, then x is a sailor. For all x, if x were an electrician, then x is a sailor. Can we infer the following from them? For all x, the fact that x were an electrician does not imply that x is playing a game.
That contradicts the premises. Therefore the answer is no.