In a large skillet, heat olive oil over medium heat. Add minced garlic and ginger, sautéing for about 1 minute until fragrant.
Add the ground chicken to the skillet, breaking it apart with a spatula. Cook for about 5-7 minutes, or until the chicken is browned and cooked through.
Stir in the broccoli florets and cook for an additional 3-4 minutes, until the broccoli is tender but still bright green.
In a small bowl, whisk together honey, sriracha, soy sauce, rice vinegar, salt, and black pepper. Pour this sauce over the chicken and broccoli mixture, stirring well to combine.
Cook for another 2-3 minutes, allowing the sauce to thicken slightly and coat the chicken and broccoli.
Serve hot over cooked rice or quinoa.