It looks like there is going to be a Mass Effect: Andromeda coop multiplayer beta, and you can sign up for a chance to be a part of it.

Mass Effect: Andromeda
The multiplayer won’t be nearly as important as it was in previous games, but it definitely will exist.
You can sign up here for a chance to participate, but it seems like they may be rather selective about.
The beta will only be for Xbox One and PS4, and most likely, you’d have to sign a contract saying you won’t talk about it, but it’s still worth trying, just for the experience. It would be cool to get a Player Attack reader in the game, so sign up!
Mass Effect: Andromeda is coming out for PC, Xbox One and PS4 next Spring.