Pinkberry offers several nondairy frozen desserts. Note that according to their website that the coconut milk version contains sodium caseinate (a dairy derivative), so is not vegan.
The ingredients for Just Fruit Strawberry are: Fruit (Fruit (Strawberry Puree), White Grape Juice Concentrate, Pear Juice Concentrate, Natural Flavors, Fruit and Vegetable Juice for Color, Locust Bean Gum, Guar Gum), Water.
For other flavors, see
http://www.pinkberry.com/images/nutrition/Nutrition.pdf