KiltieMacBagpipes
Mongoose
I think that an unarmed combatant could parry a hafted weapon, i.e. battle axe, bardiche, etc. I don't think i'd try to parry a tulwar without a weapon though. Without the Imp Unarmed Strike, i'd give them a penalty to their Parry rating. I think one could rule then non-proficient and give 'em the -4 for it.