Yes, but there's a reduction in possible honor to gain. The amount you gain is based on your honor vs. its fame, with modifiers for magic effects used against it (I think Barding falls into this, but not sure if Chiv buffs do), damage from a distance, damage from pets/summons, etc. How the modifiers go into it, I don't know, but it's noticeable when trying to gain honor fighting the same type a target with a bard/tamer, compared to a chiv swordsman.