Answer: Yes, in moderation. It's often suggested to use distilled water to relieve small dogs, such as Maltese, from having runny tear ducts. But typically it's not great and choosing bottled spring water instead of distilled water is a much healthier choice for your pet.
Or, if you want to get really fancy, cleaning under the eyes with ordinary. . or iron
I read in an article that giving your dog distilled water will control the eye stains my tap is very high mineral.