Consider the following premises. For all x, x is an artist if and only if x will listen to a song. There is at least one x for which if x were an artist, then x is listening to a song. For all x, if x listens to a song, then x is an artist. Can we infer the following from them? For all x, if is not true that x will listen to a song if and only if x is an artist.
That contradicts the premises. Therefore the answer is no.