It's unlikely if only because Prince Charles wouldn't want to collaborate with chavs. He strikes me as too principled to pretend to support a movement he doesn't agree with. He's not an obvious choice for a chav-type political party. Princess Anne is more plausible as a chav monarch - not because she's common but because she's aggressive..
Sham 69's "If the Kids are United" only just scraped into the top ten and hasn't been played on the radio since 1978, and in any case if the kids really do unite they can't vote. There might however be mileage in some kind of football-related political party.
In general the football hooligan movement was enormous in Britain in the 1980s but mostly apolitical, or at least not interested in party politics, and none of the mainstream political parties were interested in courting the yob vote. The yobs naturally gravitated to the Tories, because the Tories had Norman Tebbit, who was hard. And Margaret Thatcher, who was hard - for a girl. But on the other hand the likes of Derek Hatton and his private army were hard as well and on the whole football hooligans had regional loyalties rather than national aspirations.
In fact Britain has generally kept sports and politics completely separate. The kind of football-politics crossover that took off in South America (I'm thinking of the El Salvador-Honduras Football War, admittedly not caused by a football match but sparked off by one) or the situation whereby Imran Khan transitioned from cricket to politician and eventually Prime Minister of Pakistan, isn't easy to translate into British terms. I can't see Vinnie Jones inspiring an organised political movement. David Icke tried, but he didn't appeal to chavs.