In a small bowl, whisk together the soy sauce, sesame oil, honey, and red pepper flakes to create the sauce.
Heat the vegetable oil in a large skillet or wok over medium-high heat.
Add the ground beef to the skillet and cook until fully browned, breaking the meat into small crumbles with a spatula. Drain any excess fat.
Add the broccoli, red bell pepper, and carrots to the skillet. Stir-fry for 4 to 5 minutes until the vegetables reach a tender-crisp texture.
Incorporate the minced garlic and grated ginger into the mixture and cook for 60 seconds until fragrant.
Pour the prepared sauce over the beef and vegetables. Toss continuously for 1 to 2 minutes until the sauce coats all ingredients and thickens slightly.
Remove from heat, garnish with sliced green onions, and serve immediately.