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, slice the chicken breast into bite-sized pieces and season with sea salt and black pepper.
Heat the olive oil in a large skillet over medium-high heat and sear the chicken until golden brown and cooked through, approximately 5-7 minutes.
Reduce the heat to medium, add the minced garlic and baby spinach to the skillet, and sauté until the spinach is just wilted.
In a small bowl, whisk together the basil pesto and plain Greek yogurt until the mixture is smooth and combined.
Drain the pasta, reserving two tablespoons of the cooking water to help emulsify the sauce.
Add the cooked pasta and the pesto-yogurt mixture to the skillet with the chicken and spinach.
Toss everything together over low heat, adding the reserved pasta water if needed to reach a creamy consistency, and serve immediately.