In a large bowl, whisk together soy sauce, honey, sesame oil, olive oil, green onion, and rice vinegar. Place shrimp in bowl with marinade, cover, and refrigerate for at least 30 minutes (but not more than 3 hours).
While the shrimp is in the refrigerator, soak wooden skewers in water (this will prevent them from burning on the grill later).
Remove shrimp from bowl, but reserve marinade.
Thread shrimp onto wooden skewers. Thread chopped vegetables onto separate wooden skewers.
In a small saucepan, boil marinade for 1-2 minutes, whisking constantly.
Grill the shrimp and vegetables over high heat for a total of about 3-5 minutes, flipping halfway through. Baste the shrimp and vegetables with the cooked marinade while they’re on the grill. The shrimp is done when it turns pink and is opaque. The vegetables are done when they reach the desired level of tenderness.