No, unlike Revv amps for example, there's no built-in IR capability - just the RedBox options which are kind of like IRs but in a different format. Sometimes I disable RedBox and apply IRs from Axfx to the H+K output.
Hard to compare as there is no H+K amp model or RedBox IR models in Axfx - It has its own character within the zone of a clean/hard rock amp - the hi-end is a bit on the bright-harsh side. I use it mostly to drive Axfx models into a real tube power section + open back cab, but sometimes run it as a full amp just for something different.