Mash the Chickpeas and Avocado: In a medium bowl, mash the chickpeas and avocado together until smooth but still slightly chunky. Season with olive oil, garlic powder, salt, and pepper.
Prepare the Cucumber and Herbs: Thinly slice the cucumber and chop the fresh herbs. Set aside.
Assemble the Wrap: Spread the chickpea and avocado mixture evenly onto the tortillas or flatbreads. Top with sliced cucumber and fresh herbs.
Wrap and Serve: Roll the tortillas tightly, folding in the sides as you go. Slice in half and serve immediately, garnished with extra herbs if desired.