Yes, aromatherapy can affect your body in healing ways:
An article in Designs For Health , brought to my attention by Paul Vitiello, includes numerous references to serious academic studies on the effect of aromatherapy on human physiology.
In particular, a study published by the Korean Society of Nursing Science  claims that aromatherapy benefits the cardiovascular system”… blood pressure, heart rate variability, aortic pulse wave velocity and the aortic augmentation...”; Korea seems at the forefront of taking aromatherapy seriously.
Other area of affect of aromatherapy are :
Lavender essential oil is one of the main essence studied. An essential oil is a concentrated hydrophobic liquid containing volatile aroma compounds from plants.(Wikipedia)
Seem worth to try
- Designs For Health ; “Smell, Psychology and Aromatherapy” ; Michael Fuhrman; Aug 2012 ;
- Korean Society of Nursing Science ; “Effects of Aromatherapy on Changes in the Autonomic Nervous System, Aortic Pulse Wave Velocity and Aortic Augmentation Index in Patients with Essential Hypertension” ; Oct 2010