Bring a large pot of salted water to a boil and cook the chickpea pasta according to package directions until al dente.
Reserve 0.25 cup of the pasta cooking water before draining the pasta.
While pasta cooks, heat the olive oil in a large skillet over medium-high heat.
Add the diced chicken breast to the skillet, seasoning with half of the sea salt and black pepper, and cook until golden and cooked through.
Add the sliced cremini mushrooms to the skillet and sauté for 5 minutes until they release their moisture and brown.
Stir in the minced garlic and cook for 30 seconds until fragrant.
In a small bowl, whisk together the Greek yogurt and the reserved pasta water until a smooth, thin consistency forms.
Reduce the skillet heat to low, add the cooked pasta, and pour the yogurt mixture over the top.
Toss everything together until the pasta is coated in a creamy sauce, then remove from heat.
Drizzle with truffle oil, sprinkle with parmesan cheese, and season with the remaining salt and pepper before serving.