Funnily enough, the answer to this question is both yes and no. Yes, a certain amount of the ‘white noise’ you used to see when TV channels mistuned could be attributed to cosmic background radiation (CBR) – taken as some of the best proof we have of the Big Bang theory.
However, other factors included in TV interference were sparks, lightning and solar radiation. Since many countries have now completed the digital switchover and stopped broadcasting shows in analogue, TVs are unable to randomly pick up CBR through analogue interference. So you can no longer see some aspect of the origins of the universe from 13.8 billion years ago!