Rinse quinoa under cold water. Combine with water and a pinch of salt in a pot. Bring to a boil, reduce to simmer for 15 minutes. Fluff with fork and set aside.
In a small bowl, whisk together olive oil, lemon juice and zest, honey, garlic, oregano, basil, salt, and pepper.
Place chicken in a bowl or bag and coat with ⅓ of the marinade. Reserve remaining marinade for dressing. Marinate chicken for at least 30 minutes.
Preheat grill or grill pan to medium-high. Grill chicken for 6–8 minutes per side, or until internal temp reaches 165°F. Rest and slice.
Divide cooked quinoa among 4 bowls. Top with grilled chicken, cucumber, tomato, olives, red onion, and feta.
Drizzle remaining marinade over the bowls before serving.