No, homeopathic medicines do not have any side effects, as they are administered in minute doses and do not have a chemical or mechanical effect on the body.
The term ‘side effects’ of a medicine comes from modern pharmaceuticals. These drugs are aimed at one area of the body such as the cardiovascular system, the gut, the kidneys, etc. Though they have a primary area of action, they also affect other areas of the body. If these other affects are undesirable, they are known as adverse side effects. Streptomycin, an excellent antibiotic, has been known to cause deafness. The deafness is an adverse side effect.
Homeopathic remedies are not employed against one particular area or organ of the body. The remedy is chosen because it matches as closely as possible the totality of symptoms of the patient. Side effects, such as tissue destruction, do not occur under homeopathy.