Quote Originally Posted by Ayuhra View Post
MSQ ones are. IDK about other ones that are just unlocked via short side quests like Cutter's Cry or The Sunken Temple of Qarn. Guildhests are also not MSQ locked.
You can unlock those side dungeons while still quite early in MSQ progress, yes.

Some might require joining the Scions, I think, and by that time you're close to reaching the MSQ stage that unlocks jobs, but not quite there.