Bring a large pot of salted water to a boil and cook the chickpea tagliatelle according to package instructions until al dente. Reserve 2 tablespoons of the pasta water before draining.
While the pasta cooks, dice the chicken breast into bite-sized pieces and season lightly with a pinch of salt and pepper.
Heat a large non-stick skillet over medium-high heat and sear the chicken until golden brown and cooked through, about 5-6 minutes. Remove the chicken from the skillet and set aside.
In the same skillet, add the sliced cremini mushrooms and minced shallot. Sauté until the mushrooms have released their moisture and turned deep brown.
Add the minced garlic to the skillet and cook for 30 seconds until fragrant.
Pour in the vegetable broth to deglaze the pan, scraping up any flavorful browned bits from the bottom. Reduce the heat to low.
Whisk in the Greek yogurt and the reserved pasta water to create a smooth, creamy sauce base.
Add the cooked tagliatelle and seared chicken back into the skillet, tossing gently to ensure every strand of pasta is coated in the sauce.
Remove from heat and drizzle the truffle oil over the pasta. Season with the remaining sea salt and black pepper.
Garnish with grated parmesan cheese and freshly chopped parsley before serving immediately.