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, use a spiralizer or vegetable peeler to create long, thin ribbons from the zucchini.
Heat the olive oil in a large skillet over medium-high heat, then add the shrimp and minced garlic.
Sauté the shrimp for 2-3 minutes per side until pink and opaque, then season with sea salt and black pepper.
In a small bowl, whisk together the Greek yogurt, lemon zest, and lemon juice until smooth.
Drain the pasta, reserving two tablespoons of the pasta water.
Add the cooked pasta, zucchini ribbons, and reserved water to the skillet with the shrimp, tossing for 1 minute until the zucchini softens slightly.
Remove the skillet from heat and stir in the lemon-yogurt sauce and fresh parsley until everything is evenly coated and creamy.