Yes, you can gently massage Vicks BabyRub on your one-year-old's chest and back to help soothe them; it is specially formulated to be safe for babies. However, it won't cure a cold. For congestion, using simple saline nasal drops and a bulb syringe to gently clear their nose is highly effective and safe. Keeping them hydrated and using a cool-mist humidifier in their room will also bring great comfort. If you have any concerns or if they develop a fever, please consult your pediatrician.