Cook the chickpea pasta in boiling salted water according to package directions, reserving two tablespoons of pasta water before draining.
Season the chicken breast with sea salt and black pepper on both sides.
Heat olive oil in a large skillet over medium-high heat and sear the chicken until golden and cooked through, about 5-6 minutes per side.
Remove chicken to a plate to rest, then slice into bite-sized strips.
In the same skillet, add the cherry tomatoes and minced garlic, sautéing until the tomatoes begin to blister and soften.
In a small bowl, whisk together the basil pesto, Greek yogurt, and lemon juice until smooth.
Reduce skillet heat to low, add the cooked pasta, sliced chicken, and pesto mixture, tossing gently with the reserved pasta water to create a creamy coating.