Yeah, you can! If both if them advertise a default route via DHCP, it can get confused (it's basically random which one it will try to connect to the internet w

Yeah, you can! If both if them advertise a default route via DHCP, it can get confused (it's basically random which one it will try to connect to the internet with), but it will otherwise work. It also needs the local IP ranges to not overlap. And if the wifi network without internet doesn't advertise a default route, it'll work just fine by default.