Transfer the drained and rinsed chickpeas to a medium mixing bowl.
Using a potato masher or the back of a large fork, mash the chickpeas until the majority are broken down but some texture remains.
Add the buffalo hot sauce, Greek yogurt, diced celery, minced red onion, garlic powder, salt, and black pepper to the chickpeas.
Stir the mixture thoroughly until all ingredients are evenly incorporated.
Lay each tortilla flat on a clean surface.
Distribute the shredded lettuce and carrots evenly across the center of the four tortillas.
Top the vegetables with equal portions of the buffalo chickpea salad and a sprinkle of blue cheese crumbles if desired.
Fold in the sides of each tortilla and roll tightly from the bottom to form a wrap.
Slice each wrap in half diagonally and serve cold.