I still can't see your pics, but I can tell you the answer - NO.
There's no such species. There are Small Whites, Large Whites, and Green Veined Whites, but no Cabbage Whites. The Large white has two black spots on each wing, and a dense black wingtip to the forewing. Small White has a more greyish tip, Gree-veined has no spots or black tips. HTH.