Bring a large 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 sea salt and black pepper on both sides.
Heat the olive oil in a large skillet over medium-high heat. Add the chicken and sear for 5-6 minutes per side until golden brown and cooked through.
Remove the chicken from the skillet and set aside to rest for 3 minutes before slicing into bite-sized strips.
In the same skillet, add the cherry tomatoes and minced garlic. Sauté for 3-4 minutes until the tomatoes begin to blister and soften.
In a small bowl, whisk together the basil pesto, Greek yogurt, and lemon juice until smooth and creamy.
Drain the pasta, reserving 2 tablespoons of the pasta water.
Add the cooked pasta, sliced chicken, and creamy pesto mixture to the skillet with the tomatoes.
Toss everything together over low heat, adding the reserved pasta water if needed to reach your desired sauce consistency.
Serve immediately while hot and fragrant.