It's possible, but then the Wi-Fi router will be outside of your home, probably mounted on the poles, and owned/operated by your ISP. Who will be happy to charge you by the number of devices you can connect.
No thanks, I would much rather have direct control over my own home network. (Sure, you could achieve that with a repeater in your home, but then what was the point of moving the Wi-Fi router to the street?)
My home PC is hooked up to my router with a CAT6 cable. The router is hooked up to the FTTH modem with another CAT6 cable. So it's hard lines all the way. Both the speed and latency of this setup are much better than anything I ever got with any wireless alternative, especially when I'm trying to talk with other devices on the other side of a wall or two.