Bring a large pot of salted water to a boil and cook the chickpea pasta according to package directions.
Add the broccoli florets to the pasta water during the last 3 minutes of cooking, then drain and reserve 0.25 cup of pasta water.
Season the chicken breast with sea salt and black pepper.
Heat olive oil in a skillet over medium heat and sear the chicken for 6-7 minutes per side until golden and cooked through.
Remove chicken from the pan, let it rest for 5 minutes, then slice it into thin strips.
In the same skillet, sauté the minced garlic for 30 seconds until fragrant.
Lower the heat to low and whisk in the Greek yogurt, parmesan cheese, lemon juice, and reserved pasta water to create a smooth sauce.
Toss the cooked pasta, broccoli, and sliced chicken into the sauce until well coated and serve immediately.