Bring a pot of salted water to a boil and cook the chickpea pasta according to package directions until al dente, then drain and set aside.
Season the chicken breast with half of the sea salt and black pepper.
Heat the olive oil in a skillet over medium-high heat and sear the chicken until golden brown and cooked through, about 5-6 minutes per side.
While the chicken cooks, place the roasted red peppers, garlic, Greek yogurt, smoked paprika, and the remaining salt and pepper into a blender and process until completely smooth.
Remove the chicken from the skillet and slice it into thin, bite-sized strips.
Return the cooked pasta and sliced chicken to the skillet over low heat.
Pour the roasted red pepper sauce over the pasta and chicken, tossing gently to ensure everything is evenly coated and warmed through.
Serve the pasta immediately, garnished with the freshly chopped basil for a pop of color and flavor.