Add the chickpeas, hot sauce, yogurt, red onion, bell pepper and dried dill to a bowl. Using the back of a fork or a potato masher, combine until a mushy consistency is achieved.
Lay out the wraps, and assemble, first with the lettuce, then the buffalo chickpea mash, carrot and pickled onions. Wrap and enjoy immediately, or store in the fridge for up to 3 days.