It might, depending on several factors. Most important among things you can manage or control are what you eat, and how thoroughly you eliminate waste matter from your system.
Once we get past our teen years our bodies are generally more forgiving if we fall short in either or both of these areas than when we reach our 40's. So if your eating habits are not ideal, and if you are not having a at least one bowel movement every day, then colon cleansing may be able to improve the condition of your skin.