Yes it does:
AWD – For all four seasons
Trax offers an available on-demand All-Wheel Drive (AWD) system that gives you added grip through all four seasons. Even better – the system automatically shifts into Front-Wheel Drive (FWD) at speeds above 5 km/h, when no wheel slip is detected, to maximize fuel efficiency.
- See more at: http://www.gm.ca/gm/english/vehicles/chevrolet/trax/overview#sthash.6gDIUOV7.dpuf