Well... he does show a great deal of concern for others, which automatically leaves him out of the psychopath category; but then again, that's part of the "mission statement" which was ingrained on him since the age of 4: "saving people, hunting things". Notice how "saving people" comes first. So it might be that his altruism is part of being a "good soldier".

He also has the ability to love and feel real emotion. Again, that knocks him out of the psychopath category.

On the other hand, he has more than a touch of pyromania, but in my opinion, that stems from an unconscious urge to control and master the thing that destroyed his family, you know? Having your mom burn up and your entire life ruined and changed forever by a fire at the age of 4 ...

So I don't know if I'd call him a psychopath, but he certainly is one seriously fucked fudged up dude.