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, drain and rinse the canned chickpeas, then pat them thoroughly dry with a paper towel.
In a small skillet over medium heat, lightly toast the chickpeas with a pinch of sea salt until they are warm and slightly golden.
In a high-speed blender or food processor, combine the frozen green peas, fresh spinach, nutritional yeast, hemp seeds, olive oil, lemon juice, garlic, sea salt, and black pepper.
Pulse the mixture, adding 1 to 2 tablespoons of the hot pasta cooking water as needed, until a smooth and velvety pesto forms.
Drain the pasta and return it to the pot, then fold in the spinach-pea pesto and the toasted chickpeas until well combined.
Serve immediately while warm, garnished with an extra crack of black pepper if desired.