Drain and rinse the chickpeas. Shake dry. Drain the roasted peppers well.
Blend tahini, lemon juice, and 1 tablespoon cold water in a food processor until light and creamy.
Add garlic, cumin, smoked paprika, salt, and pepper. Pulse to combine.
Add the roasted red peppers and process until mostly smooth.
With the motor running, stream in olive oil. Add chickpeas and blend, drizzling in remaining water until creamy.
Taste and adjust seasoning. Swirl into a bowl, drizzle with olive oil, and top with parsley.