The answer is to making popsicles vegan is to use ingredients that are not animal byproducts. That is, using no dairy and using flavorings that are not animal related. In order to make creamy popsicles vegan, such as the popsicles in this recipe, you would need to use an alternative to the usual 'creamy dairy' ingredient that would be used. Almond milk or coconut milk are two vegan alternatives that add both the flavor and the texture in this creamy popsicle recipe.