Bring a large pot of salted water to a boil and cook the chickpea pasta according to package instructions until al dente, reserving 1/4 cup of the starchy pasta water before draining.
While the pasta cooks, slice the chicken breast into thin bite-sized strips and season evenly with sea salt and black pepper.
Heat the olive oil in a large skillet over medium-high heat; add the chicken and sear until golden brown and fully cooked through, then remove from the pan and set aside.
In the same skillet, add the sliced cremini mushrooms and finely minced shallots, sautéing for 5 to 7 minutes until the mushrooms are deeply browned and tender.
Stir in the minced garlic and cook for 30 seconds until fragrant, then return the cooked chicken to the skillet and reduce the heat to low.
In a small bowl, whisk together the Greek yogurt and the reserved pasta water until smooth, then pour the mixture into the skillet, stirring constantly to create a light, creamy sauce.
Add the cooked pasta and parmesan cheese to the skillet, tossing well to coat every noodle in the sauce.
Remove from heat, drizzle the truffle oil over the top, and garnish with freshly chopped parsley before serving.