Can I have two versions of "Coming into Its Own" quest active at the same time? I have Bard (Coming into Its Own) and PLD (Toughening Up) currently active.

By the way, I did the atma phase of the PLD quest by converting my BLM zeta relic (I've never done a PLD relic). Lol - I got my BLM Zeta and never played the job again after that.