His heavily augmented bare hands, yes.
It seems to me that voting for Argo's gifted rifle is probably a route for getting him to go away while remaining polite and not offending him - we're showing respect by using the rifle, but by the same standard we've just committed the hunt to be aimed at weaker, less "interesting" targets so as to not die - and I get the impression that Messermass is going to find that boring, whatever his respect for our personal modesty might be.
Thinking about it, I might actually go for that - I'm not sure I want him to stick around.