I assume you are using the approved BT Mini connectors?
You would not be able to use wireless from the normal home hub, as it does not transmit the multicast data which is needed for BT Sport, or theother extra channels.
You could run a data extension cable from your master socket, and then move the home hub to the same room as the YouView box, that may be the easiest option.
It would mean running a thin cable.
You can get RJ11 extension cables of quite long lengths if needed.
The other alternative would be to run a thin Ethernet cable between the home hub, and the YouView box.
Another option is described on this thread.
It looks like the complete WIfi system works for this person, but that would mean upgrading the home hub, and paying extra for the disk.
There is no guarantee that it will work. Running a cable is a better and cheaper option.