Yes they can and do. Sound waves are caused by the collective actions of atoms. Individual atoms vibrate back and forth and don't really go anywhere. But each is well approximated by having a definite position. The atoms bounce into each other all the time because of thermal energy. Some do bounce back and forth in one or the other of the slits. None bounce simultaneously in both.
Sound is a pressure wave. A moving wall can push forward into a bunch of atoms, pushing them forward. This crowds the atoms. The crowd pushes into more atoms, slowing themselves and pushing the new atoms forward. The wall moves back, leaving atoms less crowded. Pulses of crowding move through the collection of atoms.
A pulse is a big thing, involving many atoms spread out over large distances. The pulse can go through both slits and can interfere with itself.
Next consider what happens when you do the experiment at lower and lower gas pressure. You have fewer and fewer atoms present. The spacing between atoms increases. It takes a larger distance for the atoms pushed by a moving wall to crowd into enough atoms to stop themselves and start new atoms moving.
If you reduce the pressure so low that you have just a single atom at a time, you don't have a wave any longer. You would expect single atoms to get pushed forward and go through one or the other slit. You would expect individual atoms in the screen to get hit. You would have to add up lots of hits to see the pattern. You would expect to lose the interference pattern. You would expect to see hits show the shape of the slits.
You can try this with light. At high intensity you see an interference pattern directly. Your thought that this could be a collective effect of many photons is not ruled out.
If you turn down the intensity of light so far that you have a single photon in flight at a time, you see individual atoms on the screen hit. You have to wait for a lot of hits to see the pattern. If you do that, you see that the hits add up to an interference pattern.
So individual photons have both particle like and wave like properties. They are wave like in that a photon does go through both slits and interferes with itself on the other side. They are particle like in that a photon hits a single atom and misses all the others. It is often said that a photon is like both a classical particle and a classical wave. There is enough truth in this to be misleading. A photon really is not like anything classical.