Bring a large pot of salted water to a boil and cook the chickpea pasta according to package directions until al dente.
While the pasta cooks, place the pine nuts in a small dry skillet over medium-low heat, tossing frequently until golden and fragrant.
Season the chicken breast with sea salt and black pepper on both sides.
Heat the olive oil in a large skillet over medium-high heat and sear the chicken until cooked through and golden brown.
Add the minced garlic and halved cherry tomatoes to the skillet, sautéing for 3 minutes until the tomatoes begin to soften and burst.
Drain the pasta, reserving two tablespoons of the cooking water.
Add the cooked pasta, basil pesto, and reserved water to the skillet with the chicken and tomatoes, tossing well to coat.
Serve immediately in a shallow bowl topped with the toasted pine nuts.