In separate bowls, cover wakame and noodles with hot water; soak for 10 minutes. Drain and rinse with cold water. Cut wakame into very thin, 2-inch-long strips.
In a small jar, combine vinegar, soy sauce, honey, and sesame oil; shake vigorously.
In a large bowl, toss together wakame, noodles, green onion, and dressing. Let marinate 30 minutes in refrigerator. Toss in cucumber, carrot, and red bell pepper; serve.