Prepare the Chickpeas: Drain the canned chickpeas into a colander and rinse them thoroughly under cold water. Pat them dry with a paper towel and place them into a medium-sized mixing bowl.
Mash the Base: Add the pitted and peeled avocado to the bowl with the chickpeas. Using a large fork or a potato masher, mash the chickpeas and avocado together. You can leave some chickpeas whole for extra texture or mash them completely for a smoother spread.
Mix in Aromatics and Seasoning: Fold in the diced red onion, fresh cilantro, lime juice, salt, and pepper. Stir everything together until the ingredients are evenly distributed and the lime juice has coated the avocado to prevent browning.
Assemble the Wraps: Lay the whole wheat tortillas flat on a clean surface. Place a layer of baby spinach in the center of each tortilla. Scoop the chickpea avocado mixture onto the spinach and top with the sliced cherry tomatoes.
Fold and Serve: Fold in the sides of the tortilla and roll it up tightly from the bottom. Slice the wrap in half diagonally and serve immediately.