Yes. Effects can happen at any time. Actions are once per generation. You can use Self Replicatings action and then pay for it using its effect. Or you can use the cards effect, and put a new card on it and use the action. Or you can not get the card at all with the effect and just use the action n
Thanks. Alas, when I asked about this in a game, this weekend, the idea was shot down. I'll know better, next time.