Cook noodles according to package instructions. Drain and set aside.
In a large skillet or wok, heat sesame oil and vegetable oil over medium-high heat.
Add shrimp and cook until pink, about 2–3 minutes per side. Remove and set aside.
Add broccoli, bell pepper, and carrots to the skillet. Stir-fry for 3–4 minutes until crisp-tender.
Add garlic and cook for 1 minute more.
In a small bowl, whisk together soy sauce, oyster sauce, hoisin sauce, honey, and ground ginger. If desired, add cornstarch slurry for thickening.
Pour sauce over veggies, then add noodles and cooked shrimp. Toss everything together until well coated and heated through.
Garnish with green onions and sesame seeds before serving.