Preheat your oven to 400°F and line a large rimmed baking sheet with parchment paper.
Rinse the chickpeas and pat them very dry with a clean kitchen towel to ensure they roast properly.
Cut the chicken breast into 1-inch cubes and chop the red bell pepper into similar sized pieces.
Place the chicken, chickpeas, broccoli, and peppers onto the prepared baking sheet.
Drizzle the olive oil over the mixture and sprinkle evenly with smoked paprika, garlic powder, sea salt, and black pepper.
Toss everything together with your hands or tongs until well-coated, then spread out into a single layer.
Roast for 20 to 25 minutes, tossing halfway through, until the chicken is cooked through and the chickpeas are golden and crisp.
Remove from the oven and drizzle with fresh lemon juice before serving warm.