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I don't think so by strict RAW but I think it works by RAI.
ACG wrote:
Grit, luck, and panache represent three different means by which heroes can gain access to the same heroic pool, using it to accomplish fantastic feats. For characters with a mix of grit, luck, and panache, they pool the resources together into a combined pool. (Those who use panache and luck gain twice their Charisma bonus in their pool.) For feats, magic items, and other effects, a panache user can spend and gain luck points in place of grit or panache points, and vice versa.
I don't see why a character who has panache and luck would get twice Cha to their pool while a character who has panache from two different classes wouldn't.