Distilled water is an active absorber, and when it makes contact with air, it quickly absorbs carbon dioxide and becomes acidic. Since it is free of dissolved minerals and other particles, it has the ability to absorb toxic substances from your body and eliminate them.
However, while it may be helpful for short-term detoxification, the longer you drink it, the more likely you'll develop mineral deficiencies and an acidic state. You can also rapidly lose electrolytes (sodium, potassium, chloride) and trace minerals, which can cause cardiac irregularities, high blood pressure, and cognitive/emotional disturbances.
Additionally, the process of distilling actually worsens the presence of extremely toxic contaminants in your water because anything that vaporizes at a lower temperature than water, such as volatile organic compounds (VOC's and trihalomethanes (THM's), will also be boiled and condensed.