Is it possible to make your tooth taller?

Yes. You can have orthodontic treatment to extrude a tooth, which would "make it taller". Extrusion is a very easy movement to accomplish with orthodontics. However, in some cases, you can't extrude a tooth because the root has become "ankylosed".This means the root is fusing to the bone and cannot be moved. The only way to "make it taller" in this situation is to crown the tooth.
Sure. There are many options, including orthodontic eruption, crown lengthening, laminates, and porcelain crowns. Each treatment or combination thereof is determined by the cause of your condition, which your local dentist will diagnose. All the best..