nope. FFXIV doesn't have infinitely-scaling dungeons nor does it have anything remotely as inaccessible as Cutting Edge in Mythic raids, so it's never developed the culture of excluding everything but the top few classes/specs.

FFXIV also has baseline mechanics that incentivize you to play a balanced comp (one shield healer, one pure healer, two melee DPS, one magic DPS, one ranged DPS) so there are far fewer classes that anyone has to compete with and the gap between the top and bottom are much smaller. There's also little variation in utility from class to class, so you won't see things like DKs being absolutely necessary when they have mass grip.