If I cancel my home internet connection, can I use a touch IPHONE...?

[Mom of E and S and 38 weeks with # 3]

My brother in law lives in an apartment complex and doesn't have computer internet connection. He picks up one of his neighbors and just uses their signal.....We currently have a wireless router. We can pick up many of our neighbor's signals though. So, I was wondering if we canceled our home internet connection if I would be able to "pick up" my touch Iphone signal and use that as the home computer connection? Does this make sense? I am completely computer STUPID and don't know if this would work.
Sorry for the confusion, we don't use our neighbor's internet. I just wanted to see if we could use our Iphone and not pay home internet! Thanks!