Bring a large pot of salted water to a boil and cook pasta according to package instructions until al dente.
In a mixing bowl, combine the cubed chicken with 1 tablespoon of olive oil, oregano, garlic powder, onion powder, salt, and pepper.
Heat the remaining 1 tablespoon of olive oil in a large skillet over medium-high heat.
Add the chicken to the skillet and sear for 6 to 8 minutes, stirring occasionally, until the internal temperature reaches 165°F (74°C).
While chicken cooks, whisk together the Greek yogurt, lemon juice, and chopped dill in a small bowl to create the dressing.
Drain the pasta and return it to the pot or a large mixing bowl.
Add the cooked chicken, cherry tomatoes, diced cucumber, and sliced red onion to the pasta.
Fold in the Greek yogurt dressing until all ingredients are evenly coated.
Garnish with crumbled feta cheese and serve immediately.