Yes, if the damage category stat increases. Moves have a set base power, and the power doesn't change. But if for example, a pichu levels up and gets 1 special attack stat boost(60 special attack into 61 special attack) its thunderbolt would be slightly more powerful, because of the special attack stat boost. But if the stat isn't raised(50 attack stays at 50 attack)the damage amount of wild charge wouldn't change.
Source: Experience and logic
I hope I've helped!