Absolutely, chiropractic has an excellent safety record. Chiropractic is a conservative approach to health that avoids invasive procedures or addictive drugs. A thorough history and examination, including x-ray analysis (if necessary), help reveal areas of the spine that may be causing nervous system malfunction. The gentle techniques that are required to remove subluxations will not cause harm to the body.
In the words of a recent New Zealand government study, chiropractic care is "remarkably safe".