Bring a medium pot of salted water to a boil and cook the chickpea pasta according to package instructions until al dente.
While the pasta cooks, season the chicken breast on both sides with sea salt and black pepper.
Heat the olive oil in a skillet over medium-high heat and sauté the chicken until golden brown and cooked through, approximately 5 to 6 minutes per side.
Remove the chicken from the skillet and let it rest for a few minutes before slicing into thin strips.
In the same skillet, add the minced garlic and sun-dried tomatoes, sautéing for about 1 minute until the garlic is fragrant.
Add the baby spinach to the skillet and toss briefly until it just begins to wilt.
Drain the pasta, reserving 1 tablespoon of the cooking water, and add the pasta to the skillet with the vegetables.
Stir in the basil pesto, sliced chicken, and reserved pasta water, tossing everything together until the pasta is evenly coated and the dish is heated through.