Yes, there are team games "out there and running" as we speak. I'm in two, myself, one of the entire Minsk '44 campaign (4 vs. 4) and one of the northern sector of the Moscow '42 campaing (was 3 vs. 2, now 2 vs. 2).
Many other team games have been played. There is a method for scoring them on the ladder, too, as far as I know. (I have yet to see a team game completed
)
They tend to run longer than 1 on 1 games, since more players need to run their turns, but you get the benefit of participating in the larger action and not having to run the whole show.