Can I ask my teacher to exclude a group-mate from a project grade?
Why would you ask that of your teacher?
Because I let the group-mate be part of the project when everyone else disagreed to have him in the class.
I do not think that you should exclude him from a group that he is already a part of. It is hurtful to try to exclude people.
Yeah, but it would be better if no one has to deal with the asshole.
How do you think you'll be viewed if you exclude him from the group at this point? Maybe you should try talking to him about what makes you angry instead.