Is there any way to use the V6 box WITHOUT the coax cable, as I am trying to avoid having to embed the coax cable in the wall since I have recently wallmounted the TV. I do have a second V6 box in the bedroom perhaps this could be used to give both V6 boxes the signal or could I solely use wifi
If you don't want to use coax cable then you can simply not use what it depends on - cable TV. There are channels you can get over the internet instead which would work over WiFi. I don't know if Virgin allows you to play any of their stations over the internet, but there are providers that do.
Alternatively, you can do as suggested above and get an engineer to install a longer coax, but you'll have to hide it yourself, unless you can install appropriate pull-cords.