Preheat your oven to 400°F (200°C) and line a large sheet pan with parchment paper.
Peel the sweet potato and cut it into 1-inch cubes; chop the chicken breast into similar bite-sized pieces.
In a small mixing bowl, whisk together the honey, olive oil, garlic powder, sea salt, black pepper, and smoked paprika until the glaze is well combined.
Place the chicken, sweet potato cubes, and broccoli florets on the prepared baking sheet.
Drizzle the honey glaze over the chicken and vegetables, then toss thoroughly with your hands or tongs to ensure every piece is evenly coated.
Spread the ingredients out into a single layer, making sure not to overcrowd the pan so the components roast rather than steam.
Bake for 20 to 25 minutes, tossing halfway through the cooking time, until the chicken is cooked through and the sweet potatoes have developed caramelized, golden-brown edges.