Rare cards in TC

is it possible to get the rare player cards yopu didnt get before time compression afterwards?
you know like the ones you have to meet certain requirements like for kiros you need to loose the minimog to someone then win the kiros card off someone else and what not

If you complete the card quest at the Garden where you find out who the King of cards is (by beating Diamond, Heart, Joker, etc.), these people will be dotted around the Ragnarok. The Queen of cards is also present at the landing site near Esthar.