Cook sugar snap peas according to package directions; drain well.
In a large bowl, combine sugar snap peas, orzo, water chestnuts, chicken, green onion, and red bell pepper. In a small bowl, whisk together oil, vinegar, soy sauce, and hoisin sauce. Pour over orzo mixture, tossing gently to coat. Stir in toasted almonds. Cover and chill until ready to serve.