Boil a large pot of salted water and cook chickpea pasta for 7-9 minutes or until al dente.
Drain pasta and immediately rinse with cold water to stop the cooking process and remove excess starch.
In a small mixing bowl, whisk together Greek yogurt, lemon juice, olive oil, dried oregano, garlic powder, salt, and pepper until a smooth dressing forms.
In a large chilled mixing bowl, combine the cooled pasta, diced grilled chicken, cherry tomatoes, cucumber, and red onion.
Pour the yogurt dressing over the ingredients and toss thoroughly to ensure even coating.
Gently fold in the crumbled feta cheese and chopped parsley.
Refrigerate for at least 30 minutes before serving to allow the flavors to emulsify and the pasta to absorb the dressing.