Yes, it is safe to wash mold off fruit, but you should take certain precautions to avoid contamination. First, it is important to cut off any areas of the fruit where the mold may have penetrated. Then, using cold water and a soft brush, remove any visible mold from the surface of the fruit.
For softer fruits such as berries, you may want to use a damp cloth instead of a brush. After rinsing the fruit, air-dry it on a towel or paper towel. Always discard the fruit if there is any visible sign of mold or if the fruit is clearly damaged or rotted.
It is also advisable to hand-wash the fruit thoroughly and to use separate containers for different kinds of fruits. Be sure to wash your hands with soap and warm water after handling any fruits and discard any that have been in contact with mold.