Place the chickpeas, roasted red peppers, tahini, garlic clove, lemon juice, olive oil, cumin, and a pinch of salt into a food processor.
Blend the mixture until smooth, stopping once to scrape down the sides if needed.
Taste the hummus and add more salt if desired, then transfer it to a small container with a tight lid.
Arrange the carrot sticks, bell pepper slices, cucumber rounds, cherry tomatoes, and broccoli florets on a serving platter or in a shallow container with compartments.
Cover the vegetables tightly with plastic wrap or a lid for transport.