Bring a large pot of salted water to a boil and cook the chickpea pasta according to package directions, reserving 1/4 cup of the starchy pasta water before draining.
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 sauté the chicken until golden brown and cooked through, then remove from the pan and set aside.
In the same skillet, add the sliced cremini mushrooms and minced shallots, sautéing until the mushrooms have released their moisture and are deeply browned.
Add the minced garlic to the skillet and cook for 30 seconds until fragrant, then reduce the heat to low.
Whisk together the Greek yogurt, reserved pasta water, and truffle oil in a small bowl before stirring it into the mushroom mixture to create a creamy sauce.
Add the cooked pasta and chicken back into the skillet, tossing gently to coat every strand in the truffle sauce.
Garnish with fresh parsley and the remaining black pepper before serving immediately.