As far as traditional means of learning Blue Magic, which is getting hit by the ability in question... yes. However, their previous incarnations have lacked in tanking abilities to base the Job on. The two recurring defensive spells Blue Mage has gotten are Mighty Guard and Frog Song. Mighty Guard is taken by the second level tank limit break, while Frog Song would be essentially an interesting looking stun in all likelihood. From the one-off list of abilities...

Flash from FFV: Inflicts Blind (someone has this)
Vampire from FFV: Steals HP (sounds familiar)
Reflect??? from FFVI: Inflicts blind, silence, and slow on all enemies with the reflect status
Force Field from FFVI: Random elemental immunity all allies and enemies
Night from FFIX: Inflicts sleep on all enemies and allies
Absorb from FFX-2: Steals HP (again?!) and MP
Hastebreak from FFTA: Inflicts slow and stop on a single target
Roar from FFTA2: Removals all positive effects on the field (allies and enemies)
Sandstorm from FFTA2: AoE Blind and damage
Eerie Sound Wave from FFTA2: One-Ilm Punch that does no damage

I'm not going to cover Final Fantasy XI's spell list because it is massive, bloated, and full of things we've never seen before or since.