Cook the noodles according to package instructions, then drain and set aside.
In a small bowl, whisk together soy sauce, honey, rice vinegar, and sriracha. Set aside.
In a large skillet or wok, heat 1 tablespoon of sesame oil over medium-high heat. Add shrimp and cook until pink, about 2-3 minutes per side. Remove and set aside.
In the same skillet, heat the remaining sesame oil. Add garlic and ginger, sauté for 30 seconds.
Add bell pepper, broccoli, and carrots. Stir-fry for 4-5 minutes until just tender.
Return shrimp to the pan, add cooked noodles and sauce. Toss everything together and cook for another 2 minutes until heated through.
Serve hot, garnished with chopped green onions and sesame seeds.