I'm missing my lateral incisor on right side of my face. Are there any solutions? If they tried it could break them. (photo)

A missing lateral incisor is a very common reason patients seek out cosmetic dentistry. This issue is more common then people think and is usually the result of genetics and evolution. In fact, humans are evolving to have more narrow and pointed faces and if were around in another million years or so, the lateral incisors may be gone. Next to wisdom teeth, the upper lateral is the most common missing tooth.
Many times, people have orthodontics done and space is created to place a dental implant where the missing lateral would be. If wearing braces is not an option, there is definitely ways to fix this with cosmetic dentistry. Since your canine is in the lateral position. placing porcelain veneers can easily give you a long lasting cosmetic solution. I would recommend placing a minimum of 6 veneers, this way you can balance you smile and make the upper right 2nd bicuspid in the shape your canine.
It's important you seek out the help and advise of a skilled cosmetic dentist. I would recommend that you have a diagnostic wax-up made so you can see how the final result is going to look before you accept treatment.
I've attached pictures of a similar case we successfully treated where our patient was missing a left lateral and the canine was moved orthodontically into the lateral position. Here we placed upper veneers to balance and whiten the smile.

Long term replacement of lateral incisor is best achieved with a dental implant. This requires adequate space and supporting bone. Your dentist and oral surgeon can collaborate to assess the needs and discuss it with an orthodontist if necessary. 

Hi. You could put braces, so there will be a space and place an implant, it is a bit late but it is a very good option. 

Or you can put veneers or crowns on that tooth or the whole front if you want something more aesthetic, it is easier but the dentist have to grind your teeth.