You can certainly purchase a longer network cable if you wish so you can relocate your TV.
Without knowing which equipment you have it's difficult to say.
I have T3200M and I believe it uses regular phone cables (RJ11) . If that is the case you could likely get a longer cord (if it's plugged into the wall) or an extension if there is no jack.
For some reason I can’t upload the image. It is the green cable from the optic outlet into the modem. Telus had to put a hole in my siding/wall in order to update my network. They couldn’t use the phone jack