Preheat your oven to 400°F (200°C) and line a baking sheet with parchment paper.
Toss the broccoli florets and sliced carrots with half of the olive oil, sea salt, and black pepper, then roast for 15-20 minutes until tender and slightly caramelized.
While the vegetables roast, prepare the glaze by whisking together the honey, tamari, minced garlic, and grated ginger in a small bowl.
Cut the chicken breast into bite-sized pieces and season lightly with salt and pepper.
Heat the remaining olive oil in a large skillet over medium-high heat. Add the chicken and sear until golden brown and cooked through, about 6-8 minutes.
Reduce the heat to low and pour the honey-garlic glaze over the chicken. Simmer for 2-3 minutes, stirring constantly, until the sauce thickens and coats the chicken thoroughly.
Serve the glazed chicken and roasted vegetables over a bed of warm, cooked brown rice.