The soonest this can be obtained is after doing the Nibelheim Flashback in Kalm. Once you get control of your party, head southeast towards the Chocobo Farm. There is a Chocobo standing next to the fence near the screen; interact with it and pick the top option to get a chocobo dance. At the end, you'll get the ChocoMog Materia. Equip it, then go outside, get into a battle, and use it for the achievement.