depends on the “card”, and the reason for the veneers. A medical card represents a form of insurance, so you are asking about the coverage of the insurance, and we cannot know that without more information. Usually, cosmetic procedures (things done just to look better) are not covered. However, repairs of damages with health impacts that will also have a cosmetic benefits are often covered. It depends on why the procedure is done and whether the insurance covers any type of procedure in the class (lots of insurances do not cover dental procedures, but some do, if you pay for it). If you are talking a public insurance (a health care card) it depends on where you are, and again, dental is not usually included.