Preheat your oven to 400°F (200°C) and line a large baking sheet with parchment paper.
Drain and rinse the chickpeas, then pat them thoroughly dry with a clean kitchen towel to ensure they get crispy in the oven.
In a large mixing bowl, toss the dried chickpeas, broccoli florets, and sliced bell pepper with the olive oil, smoked paprika, sea salt, and black pepper until evenly coated.
Spread the vegetable and chickpea mixture in a single layer on the prepared baking sheet and roast for 20-25 minutes, tossing halfway through, until the vegetables are tender and slightly charred.
While the vegetables are roasting, combine the non-fat Greek yogurt, crumbled feta cheese, lemon juice, and minced garlic in a food processor or high-speed blender.
Process the yogurt mixture for 1-2 minutes until it is completely smooth, light, and fluffy.
To assemble, spread the whipped feta yogurt base into the bottom of a shallow bowl and top with the warm roasted vegetables and crispy chickpeas.