Heat oil in a large stock pot or Dutch oven over medium heat. Add the onion, carrots, celery, and lemon peel. Cook for about 10 minutes, stirring occasionally, until softened. Add minced garlic and cook for one more minute until aromatic.
Pour in the vegetable broth and raise the heat to bring everything to a boil. Once boiling, add rinsed chickpeas, dry orzo pasta, salt, pepper, and oregano. Reduce heat slightly and let simmer uncovered for about 10 minutes until orzo is al dente.
In a large bowl, combine whole eggs with egg yolks and some fresh lemon juice; whisk until smooth. While whisking, slowly stream in some hot broth to temper the eggs.
Gently stir your soup mixture as you gradually pour in the egg-broth mixture back into the pot. Add kale and let it wilt down on low heat for five minutes until the broth thickens slightly.
Stir through freshly chopped dill, taste, and adjust seasonings if necessary. Ladle into bowls garnished with extra dill and cracked black pepper, and drizzle with olive oil if desired.