Boil a pot of salted water and cook the chickpea pasta according to package directions until al dente; reserve 2 tablespoons of pasta water before draining.
Season the chicken breast with half of the sea salt and black pepper.
Heat olive oil in a large skillet over medium-high heat and cook the chicken until golden brown and cooked through, about 5-6 minutes per side.
Remove chicken from the pan, let it rest for a few minutes, then slice into bite-sized strips.
In the same skillet, add the trimmed asparagus and minced garlic, sautéing for 3-4 minutes until the asparagus is bright green and tender-crisp.
Lower the heat to low; whisk together the Greek yogurt, lemon zest, lemon juice, remaining salt, pepper, and reserved pasta water in a small bowl.
Add the cooked pasta, sliced chicken, and yogurt mixture to the skillet, tossing gently until every noodle is coated in the silky sauce.
Garnish with fresh chopped parsley and serve immediately.