Is it possible for him to believe he has a faculty of mind that "takes his awareness beyond his physical five senses"? Yes, but the simple fact of his conviction in his abilities does not make them true.
There have been many claims on behalf of mediums of the years. None have stood up to serious scrutiny, and in all of the properly controlled trials that I know of, none were ever able to demonstrate anything remotely resembling a true connection with the spirit world.
I watched the link, and sceptic that I am, I took the view that C4 had given a medium 2 minutes of prime time free publicity....