Why ever not? Germany had a Typhoon all of its own, a world record breaking light plane in its day, and the basis for one of the worlds greatest piston engined fighters
The Typhoon I'm referring to had RAF roundels and had a starring role, among other places, at Falaise.
I would have thougth (somewhat tongue in cheek) that they'd not really go for that name in cooperation with the RAF.
Doesn't matter, I'm firmly on the F-22 side. Hope/wish we buy more of them.