No, when you finally deplete the boss’s health bar, then an unskippable animation happens and a new health bar appears and the fight starts all over again but he’s red now…
@MrLovenstein
In Kingdom Hearts Birth By Sleep, one of the secret bosses, Vanitas Remnant, only has one health bar, but if you cast a Cure spell, he'll heal to full HP. Of course, you could avoid this with Potions, using one of the Group Cure commands meant for multiplayer, or attacking from behind a rock that he doesn't know how to go around.
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