There are only two ways to pass down moves in X and Y, which are:
- If either parent knows any Egg Moves that the baby can have, then they will pass the move to the baby.
- If both parents know a move that the baby can learn by level up, then they wil pass it down.
Since Drain Punch is not one of Froakie's Egg moves and it does not learn the move by level up, the answer is no. And besides passing down level-up moves, there are no more Egg Moves - and technically, passing level up moves doesn't count as Egg Moves.