Bring a pot of salted water to a boil and cook the chickpea pasta according to package directions until al dente.
While the pasta cooks, season the chicken breast with half of the sea salt and black pepper.
Heat the olive oil in a large skillet over medium-high heat and sear the chicken until golden and cooked through, about 5-6 minutes per side.
Remove the chicken from the pan, let it rest for a few minutes, then slice into thin strips.
In the same skillet, reduce the heat to medium and sauté the minced garlic for 1 minute until fragrant.
Pour in the tomato puree and dried oregano, simmering for 3-4 minutes to allow the flavors to meld.
Turn the heat to low and whisk in the Greek yogurt until the sauce is smooth and creamy.
Add the cooked pasta and sliced chicken back into the skillet, tossing well to coat everything in the sauce.
Season with the remaining salt and pepper, then fold in the fresh basil just before serving.