Mix the sauce: In a small bowl, whisk soy sauce, honey, rice vinegar, broth, cornstarch, and red pepper flakes.
Set aside.
Prep the shrimp and veggies: Pat shrimp dry with paper towels. Season lightly with salt and pepper. Slice all vegetables and separate green onion whites from greens.
Heat the pan: Place a large skillet or wok over medium-high heat.
Add 1 tablespoon neutral oil.
Sear the shrimp: Add shrimp in a single layer. Cook 1–2 minutes per side until just pink and curled. Transfer to a plate.
Do not overcook.
Stir-fry the veggies: Add remaining 1 tablespoon oil. Toss in broccoli and carrots first; cook 2 minutes. Add bell pepper, snap peas, and green onion whites; cook 2–3 more minutes, stirring often.
Add aromatics: Push veggies to the sides.
Add garlic and ginger to the center; cook 30 seconds until fragrant.
Sauce it up: Whisk the sauce again and pour into the pan. Stir until it bubbles and lightly thickens, about 1 minute.
Finish with shrimp: Return shrimp to the pan along with sesame oil. Toss to coat and heat through for 30–60 seconds.
Remove from heat.
Serve: Top with green onion greens and sesame seeds. Spoon over rice or noodles. Add a squeeze of lime if you like.