Bring a medium 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 for 5-6 minutes per side until golden and cooked through.
Remove the chicken from the pan to rest, then slice into thin strips.
In the same skillet, reduce heat to medium and add the minced garlic, sautéing for 1 minute until fragrant.
Whisk together the Greek yogurt, chicken broth, and parmesan cheese in a small bowl, then pour into the skillet.
Stir the sauce constantly for 1-2 minutes until warmed through and slightly thickened, being careful not to let it boil.
Add the baby spinach to the sauce and stir until just wilted.
Toss the cooked pasta and sliced chicken into the sauce until every strand is coated, adding a splash of pasta water if needed for consistency.
Garnish with the remaining salt and pepper before serving immediately.