Bring a large pot of salted water to a boil and cook the chickpea spaghetti according to package directions until al dente.
While the pasta cooks, finely dice the pancetta and mince the garlic.
In a small skillet over medium heat, sauté the pancetta until the fat renders and the edges become golden and crispy.
Add the minced garlic to the skillet with the pancetta and sauté for 30 seconds until fragrant, then remove from heat.
In a medium bowl, whisk together the egg yolk, egg whites, grated Pecorino Romano, and black pepper until well combined.
Just before draining the pasta, reserve 0.25 cup of the hot pasta cooking water.
Drain the pasta and the frozen peas, then return them to the warm pot off the heat.
Slowly whisk the reserved pasta water into the egg mixture to temper the eggs, preventing them from scrambling.
Pour the tempered egg mixture and the crisped pancetta with its oil into the pot with the pasta.
Toss vigorously for 1-2 minutes until the sauce thickens into a creamy, glossy coating and serve immediately.