Preheat your oven to 400°F (200°C) and line a large baking sheet with parchment paper for easy cleanup.
Cut the chicken breast and the half sweet potato into uniform 1-inch cubes to ensure they cook at the same rate.
In a small mixing bowl, whisk together the extra virgin olive oil, honey, sea salt, black pepper, garlic powder, and smoked paprika until well combined.
Place the chicken cubes, sweet potato cubes, and broccoli florets onto the prepared baking sheet.
Drizzle the honey and spice mixture over the ingredients and toss thoroughly with your hands or a spatula to ensure everything is evenly coated.
Spread the mixture out into a single layer, making sure the pieces are not overlapping so they roast and caramelize properly.
Roast in the center of the oven for 20 to 25 minutes, tossing the ingredients halfway through the cooking time.
Remove from the oven once the chicken is cooked through and the sweet potatoes are tender with slightly browned edges.
Transfer to a plate and serve immediately while the glaze is warm and glistening.