Preheat your oven to 400°F (200°C) and line a baking sheet with a wire rack or parchment paper.
Pat the chicken wings dry with a paper towel and toss them in a bowl with the sea salt and black pepper.
Arrange the wings on the baking sheet and roast for 35 to 40 minutes, flipping halfway through, until the skin is golden and crispy.
While the wings roast, combine the honey, tamari, sesame oil, minced garlic, and grated ginger in a small saucepan over medium-low heat.
Simmer the glaze for 3 to 5 minutes until it thickens slightly and becomes aromatic, then remove from heat.
Steam the broccoli florets for 4 to 5 minutes until tender-crisp and bright green.
Once the wings are finished roasting, transfer them to a large bowl, pour the warm honey-garlic glaze over them, and toss until every wing is thoroughly coated.
Serve the sticky wings immediately, garnished with sesame seeds, alongside the steamed broccoli.