no. noise/sound is something interpreted by your brain subjectively and therefore nothing "really" makes a noise, it just emits certain waves or signals that we interpret in a way. Since no one is near the sun to interpret the noise, it is not making a noise.

Theres also the quantum mechanics Schrodinger's cat type argument which says that all events are random on a sub-atomic scale so unless we observe them we can't be sure they happened. Thus the sun even emitting a wave that can be interpreted as a sound is unknown. As such we say it is both emitting and not emitting a sound.
my...MY MIND IS BLOWN