If you were close enough, then yes, you'd probably be hit by the wave of outgoing ejecta, which I suppose would register as sound. To give you some idea of the intensity, typical Type Ia supernovae (those that come from a white dwarf being overloaded with too much mass) eject material into the surrounding environment at over 10,000 km/s.
Moreover, the immediate vicinity of a supernova is often anything but vacuum. There can be a dense circumstellar medium consisting of gas thrown off by an aging giant star just before it undergoes typical core collapse (leading to a Type II explosion). Or there could be an accretion disc around a white dwarf (artist's depiction here) that is stripping matter off an inflated companion star.
EDIT: Based on dmckee's response, I would agree that you have to consider the properties of whatever specific medium you're dealing with, especially its density, to determine if sound waves of audible frequencies can propagate.