Preheat your oven to 400°F and line a large baking sheet with parchment paper.
Peel the sweet potato and cut it into small 1/2-inch cubes for even cooking.
In a mixing bowl, toss the sweet potato cubes and broccoli florets with olive oil, garlic powder, and half of the sea salt and black pepper.
Spread the vegetables in a single layer on the prepared baking sheet and roast for 12 minutes.
While the vegetables roast, season the chicken breast on both sides with the remaining sea salt and black pepper.
Remove the baking sheet from the oven, move the vegetables to the edges, and place the chicken breast in the center.
Return the pan to the oven and roast for 15 to 18 minutes until the chicken reaches an internal temperature of 165°F.
Remove from the oven, drizzle the hot honey over the chicken, and sprinkle the crumbled goat cheese over the sweet potatoes before serving.