If there was a way of hearing them, they might do. There’s no air around the star to carry the sound, but people have translated output from some stars into sounds/music. So a star might ‘shake’ with a particular frequency that you could turn into a sound, but you wouldn’t really be /hearing/ the star itself.
If a tree falls in a forest and there is nobody there to hear it, does it make a sound?
If a star burns in a vacuum and there is nobody there to hear it, does it make a sound?
If you were there to hear it though (and didn’t get killed by radiation or burnt to death), then probably yes! Because we hear things by vibrating particles entering our ears, and the sun produces a ‘wind’ of electrons and protons, these could enter your ear and sound like rushing wind. But it would be very faint, because they’re very small and there’s not many of them.
You can see sound waves moving on the surfaces of some stars (definitely the Sun), but it can’t transmit across space, so we could never hear them. Making observations of them (called helioseismology which is a cool word I always thought) do help us to understand what’s going on inside the Sun though – so they’re really useful that way.
In a way. Stars pulsate, or wobble, and you can measure this using a technique called stellar seismology. (This is the same as the way that the Earth wobbles because of earthquakes.) We can’t “hear” the sound because there is nothing between the star and us. But we can measure the changes the pulsations make to how bright the star is, and we can turn that measurement of changes in brightness into sound. (I can’t find an example of this on the web, can you?)