Consider the following premises. There is at least one y for which if y were an artist, then y is playing a game. For all y, y will play a game or y will not listen to a song. For all y, y is an artist if and only if y will play a game. Can we infer the following from them? For all y, the fact that y listens to a song does not imply that y is an artist.
That contradicts the premises. Therefore the answer is no.