It is possible, in fact I had quite a few years that same setup to reach my living room, it depends on the model of your router, if it allows AP mode via wifi and if it does, it is a matter of configuration and you will get that connection you need because some routers only have AP mode via cable and not via wifi.
It is possible, in fact I had quite a few years that same setup to reach my living room, it depends on the model of your router, if it allows AP mode via wifi and if it does, it is a matter of configuration and you will get that connection you need because some routers only have AP mode via cable and not via wifi.