Cook pasta according to package directions, omitting salt and adding broccoli last 2 minutes of cook time.
Meanwhile, heat oil in 12-inch nonstick skillet over medium-high heat. Add chicken; cook 5 minutes or until lightly browned on both sides. Add undrained tomatoes and tomato sauce; bring to a boil. Reduce heat to medium-low; cover. Simmer 8 minutes or until chicken is no longer pink in centers (165 degrees F).
Remove chicken from skillet; keep warm. Add cream cheese to sauce remaining in skillet; stir until cream cheese is melted completely. Stir in pesto; simmer 2 minutes to thicken slightly. Drain pasta. Add to skillet; mix lightly. Serve chicken with pasta mixture.