Bring a pot of salted water to a boil and cook the chickpea pasta according to package directions, reserving 2 tablespoons of pasta water before draining.
Heat the olive oil in a large skillet over medium-high heat.
Season the cubed chicken breast with sea salt and black pepper.
Add the chicken to the skillet and cook until golden brown and cooked through, about 6-8 minutes.
Add the minced garlic and halved cherry tomatoes to the skillet, sautéing for 2 minutes until the tomatoes begin to soften.
Stir in the baby spinach and cook until just wilted.
In a small bowl, whisk together the Greek yogurt, basil pesto, and reserved pasta water until smooth.
Lower the skillet heat to low, then add the cooked pasta and the creamy pesto sauce mixture.
Toss everything together until the pasta is evenly coated and heated through, then serve immediately.