Whisk the honey, soy sauce, rice vinegar, and sesame oil in a small bowl. Set aside.
In a large skillet, heat the olive oil over medium-high heat. Add the onions and sauté until they turn golden and translucent about 3-4 minutes. Add the garlic and sauté for an additional minute.
To the soft onions, add the ground chicken and shredded carrots. Cook for 5 to 7 minutes, breaking up the meat with a spatula as you go.
Pour the sauce over the cooked chicken mixture and stir to combine. Cover the skillet with the lid, reduce the heat to medium-low, and simmer for 3 minutes.
Remove the lid and top with the mixture with the bean sprouts, chopped cabbage, and roasted peanuts. Cover for an additional 3 minutes.