It could be possible with time and especially if you are patient and don't mind ducking waiting and shooting. I can see it. Remember when they said in borderlands you couldn't solo the giant worm thing ( can't remember his name ) bit some one did it
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It was Crawmerax. And even he could be beaten solo with the right build/weapons.
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Ahh yes, forgot about ol' Craw.
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I've solo'd every raid boss in Borderlands 2 already actually, Terramorphous and all the rest of them.