Preheat oven to 425 degrees F. Line a large baking sheet with parchment.
Dry chickpeas: pat very dry with paper towels. Spread on one side of the baking sheet.
Add vegetables: spread zucchini, bell pepper, red onion, and tomatoes on the other side of the pan.
Season: drizzle 2 tbsp olive oil over everything. Sprinkle with salt, pepper, cumin, and paprika. Toss each side separately.
Roast: roast 25 to 30 minutes, flipping halfway, until vegetables are golden and chickpeas are crisp.
Make dressing: whisk remaining 1 tbsp olive oil, lemon juice, lemon zest, and garlic powder. Adjust salt.
Combine: cool vegetables 5 minutes. Transfer to a bowl, pour dressing over, toss. Add herbs, cheese, and nuts. Serve warm or at room temperature.