Preheat your oven to 400°F (200°C) and line a baking sheet with parchment paper.
In a mixing bowl, combine the drained chickpeas with olive oil, smoked paprika, garlic powder, cumin, salt, and black pepper. Toss well to coat the chickpeas evenly.
Spread the seasoned chickpeas on the prepared baking sheet in a single layer and roast in the preheated oven for 20-25 minutes, stirring halfway through.
While the chickpeas are roasting, prepare the sauce by mixing Greek yogurt and lemon juice in a small bowl, adding salt and pepper to taste.
Once the chickpeas are done, remove them from the oven and let them cool slightly.
To assemble the wraps, place a tortilla on a clean surface and layer with chopped lettuce, roasted chickpeas, cherry tomatoes, sliced avocado, and diced cucumber.
Drizzle the yogurt sauce over the filling, then roll the tortilla tightly around the filling, folding in the edges to secure it.
Repeat with the remaining tortillas and filling, then slice the wraps in half if desired and serve immediately.