No, you cannot. Since it is level 100, that Delphox will not listen to you until you beat the eighth Gym Leader, Wulfric, and get the Iceberg Badge. Just because it came from the same game card doesn't mean it will listen to you from the start of the game.
Anyway, imagine how easy the game would be with a level 100 Delphox that early in the game? It'd take away the fun of playing the game.