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 sea salt and black pepper.
Heat 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 chicken from the skillet and set aside to rest, then slice into strips.
In the same skillet, lower the heat to medium and sauté the minced garlic for 1 minute until fragrant.
Whisk in the chicken broth, Greek yogurt, and parmesan cheese, stirring constantly until the sauce is smooth and slightly thickened.
Add the baby spinach to the sauce and stir until just wilted.
Toss the cooked pasta and sliced chicken into the sauce until well-coated and serve immediately.