Could veneers fix my high canine teeth? I have had braces in the past for my high canine teeth. (Photo)

The battle for natural appearance of veneers is won and lost at the gum line. The gum line of your canine is high in relation to the other teeth. No matter what kind of veneers you get, the gum line will look unnaturally high and thus it will not be attractive. Not to mention that you will likely need a root canal treatment in the canine to remove the nerve in order to be able to reduce it enough to place a non-bulky veneer. You can get a gum graft to lower the gum line. Will it work? Not really. The end result will be that you spent money, you look different, but you don't look better. That approach is not the right one. The proper treatment is for your canine to be orthodontically moved down, or your entire gum line needs to be lifted - followed by 8-10 veneers. 
Best,