Preheat your oven to 400°F (200°C). Line a baking sheet with parchment paper.
Pat the chicken wings dry with paper towels. In a bowl, combine the honey, minced garlic, soy sauce, olive oil, salt, and black pepper.
Toss the chicken wings in the honey garlic mixture until well coated.
Arrange the wings on one side of the baking sheet, ensuring they are not crowded.
On the other side, place the broccoli florets. Drizzle with a small amount of olive oil, and season with salt and pepper.
Bake in the preheated oven for 25-30 minutes, turning the wings halfway through, until the wings are crispy and the broccoli is tender with slight browning.
Remove from the oven and serve immediately, enjoying the balance of savory, sweet, and garlicky flavor.