Preheat your oven to 400 degrees F and line a large rimmed baking sheet with parchment paper.
In a large bowl, toss the chickpeas, broccoli florets, diced bell pepper, and sliced red onion with olive oil, cumin, and smoked paprika until evenly coated.
Spread the vegetable and chickpea mixture in a single layer on the prepared baking sheet and roast for 20 to 25 minutes until the broccoli is tender and slightly charred.
While the vegetables roast, whisk together the Greek yogurt, lemon juice, minced garlic, sea salt, and black pepper in a small bowl to create a thick, creamy dressing.
Spread the yogurt dressing across the base of a serving bowl or plate.
Spoon the warm roasted vegetables and chickpeas over the yogurt base.
Top the salad with the crumbled feta cheese and serve immediately while warm.