Not sure if you are serious, but yes every melee weapon allows yout to parry if you are capable to parry to begin with, and you can block too when you have a shield and the skill to block.
Yes, fist weapons can parry - this is partially why Eskhanders claw is still considered a decent starter tank weapon. Early in vanilla you couldn’t parry with a fist weapon though.
[Patch 1.6.0] (patch date:2005-07-12):
Fist Weapons will now have the normal chance to parry that all weapons use.