Yes, Skittles Chewy Sweets Fruit Flavoured Pouch Bag are Vegan-Friendly!
Classic fruity Skittles are vegan-friendly as they contain no animal products. Skittles used to contain Gelatine but this has thankfully been removed from the ingredient list a while back.
Another ingredient called Carmine (AKA Cochineal Extract, E120) was only scrapped from the ingredients list in around 2015.
Here’s the ingredient list: Sugar, Glucose Syrup, Palm Fat, Acids (Citric Acid, Malic Acid), Dextrin, Maltodextrin, Flavourings, Modified Starch, Colours (E162, E163, E170, E160a, E100, E132, E133), Acidity Regulator (Trisodium Citrate), Glazing Agent (Carnauba Wax)