Can I get an autistic kid kicked out of my class?
Say it isn't so! Why do you want him kicked out?
He really annoys me and won't stop talking.
That is very rude of you. It is wrong to judge someone because of their disabilities. It may be something that he can't help so you should try to be more understanding towards him.
He can't keep his mouth shut.
I get that about the constant talking, I can't tolerate things like that either. Sometimes you just have to put up with things before you loose your mind. He cannot control the talking he does.