In a large skillet, heat the vegetable oil over medium heat. Add the 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 until browned and fully cooked, about 5-7 minutes.
In a small bowl, whisk together the soy sauce, hoisin sauce, rice vinegar, sugar, sesame oil, and red pepper flakes. Pour this sauce over the cooked chicken, stirring to combine.
Add the broccoli florets and sliced bell peppers to the skillet. Cook for an additional 5 minutes, or until the vegetables are tender but still crisp.
To serve, place a scoop of jasmine rice in a bowl, top with the General Tso's chicken mixture, and garnish with sliced green onions and sesame seeds.