I remember back in the olden days, our teachers visited us at home. Not so sure if they do that any more now. Ask mom and dad - they would be the ones to approach the teacher about this.
I want my teacher to come to my house for a bit, could this be possible?
Why would you want that? Make sure your parents are there if he/she decides to do that but I've never heard of a teacher coming to your house unless you're home schooled. Pretty vague question. Suppose you could ask the teacher but I would ask your parents first!
You should ask your teacher and tell him/her the reason why you want he/she come to your house.