Bring a large pot of salted water to a boil and cook the chickpea pasta until al dente, reserving 2 tablespoons of the starchy cooking water.
While the pasta cooks, pat the chicken breast dry with a paper towel and cut into 1-inch cubes.
Season the chicken cubes evenly with the sea salt and black pepper.
Heat the olive oil in a large non-stick skillet over medium-high heat.
Add the chicken to the skillet in a single layer and sear until golden brown and cooked through, about 5 to 7 minutes.
Reduce the heat to medium, then add the minced garlic and chopped sun-dried tomatoes, sautéing for 60 seconds until the garlic is aromatic.
Stir in the baby spinach and cook just until the leaves begin to collapse and turn bright green.
Add the cooked pasta and basil pesto to the skillet, tossing thoroughly to ensure every noodle is coated.
Incorporate the reserved pasta water if needed to loosen the sauce and serve immediately.