Reuse Quorum cards with "Give this card to another player"
Even if this were allowed, how would the other person play it?  It's not creating a new hand of cards and new delegated political powers.

There's no precedent in-game for cards to be 'read' twice.

And if this worked this way it would be deeply weird.

For those reasons I say no "pass[ing] it on to yet another player".