"Sound" as we are familiar with, is caused by vibration of air or some other medium. SONAR works by using sound through water, GPR (ground penetrating rader) produces sound through soil and rock. There MUST be something for the sound to make "waves" with. There is nothing in space (or nothing dense enough) to carry these waves or vibrations. So, no - the sun does not produce "sound".
It DOES however, produce enormous amounts of electrmagnetic waves, as well as atomic and subatomic particles - that can travel through a vacuum, needing no "medium" to carry them. Electromagetic waves consist of visible light, heat, radio waves, and x-rays. The particles stream out in what is described as "solar wind" - still nearly as close to a perfect vacuum as can be imagined. When these particles collide with each other, or anything else, a tiny amount of energy is released, and can be detected as a "crackle", or static on radio and TV. There are also theories they cause the occasional "sparks" or flashes one sees when their eyes are closed. The electromagnetic waves can be seen or felt. We see the light, feel the heat, but the radio and x-rays can only be detected by instruments that are used to convert these otherwise undetectable forces into forms we can study. The recordings that you can listen to are no more than "tuning into" the frequency of that radiation with radio equipment, and converting it to sound, no different that picking up "Rock 97.3 - Home of the Oldies" on your FM dial.
