I agree that this would take a H&H expert to answer this question, but British gunmakers used all sorts of unusual actions in the past. When Rigby were under Paul Roberts' supervision, the built bolt rifles on Brno, Ruger and Hartman and Weiss actions - in short, whatever a client wanted. I have also read about Green Mannlicher military actions being used to build light sporting rifles after the war. If there were H&H Arisakas, they would be interesting and rare guns to look at, irrespective of whether one likes Arisakas or not.

Good hunting!