Yes, of course you can, but you'll need an extra powerful router... But why would you want to do it ? It sounds like a huge hassle, don't you think ? It also sounds too expensive. If you still want to do it, you can contact a local internet connection network using a digital signature PDF file, in order to save your time. After that, a technician would come to your and your neighbors houses and connect them and you to the internet, and after that he'll install the router. Good luck!
