Boil egg noodles in salted water according to package directions until al dente, drain, and set aside.
In a medium bowl, whisk together soy sauce, honey, oyster sauce, sriracha, and sesame oil until the honey is fully emulsified.
Heat vegetable oil in a large wok or heavy-bottomed skillet over high heat until shimmering.
Add chicken cubes in a single layer and sear without moving for 2 minutes, then stir-fry until internal temperature reaches 165°F (74°C).
Add minced garlic, ginger, broccoli, and carrots to the skillet and sauté for 3 minutes until vegetables are tender-crisp.
Incorporate the cooked noodles into the skillet and toss with tongs to distribute chicken and vegetables.
Pour the sauce mixture over the ingredients and continue to cook over medium-high heat for 2-3 minutes, tossing constantly, until the sauce reduces into a thick, sticky glaze.
Remove from heat and garnish with sliced green onions and toasted sesame seeds before service.