Yes, you can use your Keezel with wired internet connections. Do note that you will have to purchase a USB to ethernet adapter for this and plug it into your Keezel via the normal USB port.
Currently Keezel supports USB UTP adapters manufactured by Apple (or clones of those) only. At the moment, Keezel can use wired internet connections via DHCP only.
After Keezel establishes a successful connection the status screen should look like this: