In a small bowl, whisk together soy sauce, lime juice, honey, and a pinch of black pepper.
Heat 1 tablespoon of vegetable oil in a large skillet over medium-high heat.
Add shrimp to the skillet, season lightly with salt, and cook until pink and opaque, about 2-3 minutes per side. Remove shrimp and set aside.
Add remaining oil to the skillet and sauté garlic and ginger until fragrant, about 30 seconds.
Add bell pepper, snap peas, and carrot; cook until vegetables are tender-crisp, about 4-5 minutes.
Return shrimp to the skillet, pour in the soy-lime sauce, and toss everything together to coat evenly. Cook for another 1-2 minutes.
Divide cooked jasmine rice into bowls, top with shrimp and vegetable mixture.
Garnish with sliced green onions and sesame seeds if desired. Serve immediately.