Season the chicken breast with half of the sea salt, black pepper, and smoked paprika.
Heat the olive oil in a skillet over medium-high heat and sear the chicken for 6-7 minutes per side until fully cooked, then set aside to rest.
In a food processor, combine the chickpeas, roasted red peppers, tahini, lemon juice, garlic, and the remaining salt, pepper, and paprika.
Process the hummus until completely smooth and creamy, adding a teaspoon of water if needed to reach desired consistency.
Slice the cucumber into rounds and prepare the baby carrots for dipping.
Spread the hummus onto a large plate or bowl, slice the rested chicken into strips, and place on top.
Arrange the fresh vegetables around the hummus and serve immediately.