Preheat your oven to 400°F (200°C) and line a large baking sheet with parchment paper.
Peel the sweet potato and cut it into 1-inch wedges, and dice the chicken breast into bite-sized pieces.
In a small bowl, whisk together the honey, lime juice, olive oil, sea salt, black pepper, garlic powder, and smoked paprika until well combined.
Place the chicken and sweet potato wedges on the prepared baking sheet and drizzle with half of the honey-lime glaze, tossing to coat evenly.
Spread the ingredients in a single layer and roast in the oven for 20 to 25 minutes, or until the chicken is cooked through and the potatoes are tender and lightly caramelized.
While the chicken and potatoes roast, steam the broccoli florets until they are bright green and tender-crisp.
Remove the baking sheet from the oven, add the steamed broccoli, and drizzle the remaining glaze over everything before serving.