Trying a totally non combatative character in New Vegas. Hopefully it's actually doable.
i'm pretty sure it would be possible. if i remember correctly all of the main storyline quests can be completed by lurking around and talking your way through problems. not sure about the final quest, though.
i know it's possible if having boone as your follower counts as non-combat. you don't even really need to be armed as long as he's around.