Cook the chickpea pasta in a large pot of boiling salted water according to package directions until al dente. Drain and rinse with cold water to stop the cooking process.
Season chicken breasts with salt and pepper. Grill or pan-sear over medium-high heat for 6-7 minutes per side until the internal temperature reaches 165°F (74°C).
Allow the chicken to rest for 5 minutes, then dice into 1/2-inch cubes.
In a small bowl, whisk together the Greek yogurt, lemon juice, olive oil, oregano, garlic powder, salt, and pepper to create the dressing.
In a large mixing bowl, combine the cooled pasta, diced chicken, cherry tomatoes, cucumber, bell pepper, and red onion.
Pour the yogurt dressing over the salad components and toss thoroughly until evenly coated.
Gently fold in the crumbled feta cheese.
Cover and refrigerate for at least 30 minutes before serving to allow the flavors to meld.