Why not? They gave Lily Allen one...
According to BreakingNews.ie, John said: "We can’t say too much now, but it will include chat with celebrities and funny sketches and stuff.” As well as a TV show, Jedward are convinced their music career is set to take off following their Eurovision performance, in which they were played eighth after impressing with their track Lipstick. Edward said: "If our plans work, we're going to take over Europe, we're going to go to Oz. We're going on a big massive European tour. We're doing so well with the song, Lipstick."
And why are they doing so well? They give good hair. According to Edward: "People were coming up to our fans from the UK offering them so much money for these Jed heads which you can only really get in the UK. Over there everyone's asking how we do our hair, they don't call it spiky they say it's very stiff."
If they got a chat show, I for one would be glued to it - if only to see the floor manager try to do themselves in by repeatedly headbutting a monitor, while the sound guy crawls head first into a giant mic muff. And spare a thought for the camera man who's bound to get high kicked in the head on more than one occasion.
In all seriousness though, Graham Norton they are not, but their boundless energy deserves to be rewarded.