Originally posted by Trakehner:

Highly doubtful. As far as I know, Vikings almost never duel wielded weapons. Closest they came was sword/axe and board. Could be wrong though.

Besides, with the stamina system in place, you would be hard pressed to have the stamina to use them effectively.

Well, this game isn't quite 1 to 1 for realism, but you're not entirely wrong.
And the stamina issue would be the trade off, good damage at the cost of less defence and more stamina usage.