Yes. Except you have a player that has no first ability but there is still a way to get a new player have two roles.
When you unlock the second ability, just leave it there as in, don't use it. Then wait till all items are claimed and give the new ability to a new player. Afterward, go back to the second ability and also assign to him
Team Name: Forza Adiat
Manager Level: 60
Trophy Won: 66
F. Champ. Title: 2