Bring a large pot of salted water to a boil and cook the chickpea pasta according to package directions until al dente.
Reserve 0.25 cup of the pasta cooking water, then drain the pasta and set it aside.
While the pasta cooks, heat the olive oil in a large skillet over medium heat and add the diced chicken breast seasoned with half of the salt and pepper.
Sauté the chicken until golden brown and cooked through, approximately 6-8 minutes, then remove from the pan and set aside.
In the same skillet, add the minced garlic and red pepper flakes, sautéing for 1 minute until fragrant.
Pour in the tomato puree and simmer for 5 minutes, stirring occasionally to incorporate the pan drippings and thicken slightly.
Reduce the heat to low and stir in the Greek yogurt and reserved pasta water until the sauce is smooth and creamy.
Add the cooked pasta and chicken back into the skillet, tossing well to coat every piece in the sauce.
Stir in the fresh torn basil leaves and the remaining salt and pepper just before serving for a burst of herbal freshness.