I could be dead wrong but no , I believe that boost does impact volume. Density is just a matter of how closely packed all the air molecules are gathered together. The cooler the charge the denser and in hence the more oxygen content into the combustion chamber under each intake stroke.
No IC though will not be a dense charge and will become more prone to detonation , and less HP that can be generated
That is why a say 2.0 motor can make so much more HP under boost than in NA form. It is moving alot more volume per stroke , and hence output increases.
Obviously the cooler the volume the most bang you can yield!!!