Bring a medium pot of salted water to a boil and cook the chickpea pasta according to package directions until al dente.
While the pasta cooks, dice the chicken breast into bite-sized pieces and season with the sea salt and black pepper.
Heat the olive oil in a large skillet over medium-high heat.
Add the chicken to the skillet and cook for 5-6 minutes until golden brown and cooked through.
Stir in the minced garlic and halved cherry tomatoes, sautéing for 2 minutes until the tomatoes begin to soften and blister.
In a small bowl, whisk together the basil pesto, Greek yogurt, and lemon juice until smooth and creamy.
Reserve 2 tablespoons of the pasta cooking water, then drain the pasta.
Reduce the skillet heat to low; add the cooked pasta, the pesto-yogurt mixture, and the reserved pasta water to the chicken and tomatoes.
Toss everything together gently for 1 minute until the sauce is velvety and coats the pasta evenly.
Garnish with freshly chopped basil and serve immediately.