If we were allowed full auto airguns then maybe, but why would people need a full auto airgun? Bullpups were designed for close quarter warfare against humans, not rats or squirrels etc. The idea behind the bullpup was based on "spray and pray" while you jump through a doorway shouting the obligatory "Hut! Hut! Hut!" in an American accent....
The airsoft brigade have them for placcy BB's, which for me tells me all I need to know.