Can a Pokemon in X/Y relearn an egg move it never knew?

I want my Delphox to learn Hypnosis, but it never knew it before.Would it be possible for the Move Reminder to teach it to my Precio–I mean, my Delphox?

Pleaselog inorregisterto add a comment.

And yes you can re-learn a Pokémon an Egg Move, if they have learnt it before and forgotten it.

In Generation VI, any Pokémon bred or obtained in a Generation VI game may also be taught any move it knew when it hatched or was obtained. This includes Egg moves, Volt Tackle bred onto Pichu, and event-exclusive moves such as the Pokémon Center Tokyo Bay Inkay’s Happy Hour.

Source: Experience andBulbapedia

No,the move relearner simply teaches Pokemon moves they could have learned a a level up move at a lower level, this can be useful if your Pokemon level up twice and missed a move it should have learned when it evolved, (it is also used as a way for fully evolved Pokemon to learn moves that would be otherwise unavailable). The moves that a Pokemon can remember are unaffected by moves that where actually learned in the past. For example in SoulSilver I taught my Arbok TM 23 iron tail which I later accidentally deleted. When a went to the move relearner and to my dismay, it was unable to relearn iron tail.

To put it simple, no. The only way for it to have hypnosis is if it had it when it hatched, or if it already has it.