Can this happen in real life!?

Okay, a foreign girl from, oh, lets say greece, brazil, italy, or some country besides Japan, has a friend in Japan, and lives there for her highschool year, because in a manga this girl ran away from home and the school said they needed a home adress or else they'll wont let you in, and so anyways the friend just gave them hers, and the girl lived with her friend for her high school year. While the parents lived in Brazil, or wherever there from...is that even possible!?

Perhaps, it wouldn't be impossible jsut highly improbable.

but doesn't that mean, the parents need to be with the girl, or it make her look like an orphan?

Homestay kids can stay over for a period of time, it isn't impossible as I said before jsut hard. If one tried they could do it.