There are enough stories of intelligent zombies that its easy to say he can be considered a zombie inspite of his intelligence. I think a better argument is that zombies are only one form of animated dead.

Zombies are dead things like liches, ghouls, vampires, wights, revenants etc. just as there are many stories of these creatures there are probably as many, or at least enough of coming back to life and not being some form of animated corpse.

Resurrection, reincarnation, regeneration, wishing and of course miracles

The story of jesus is clearly a divine/holy intervention though which suggests NOT an animated corpse but a true return to life.

So I also say no, but for different reasons.

Will that stop me from calling easter zombie jesus day? It will not :p