I currently wear a flipper, Can I get braces before implants even though my 2 front teeth are missing? (photo)

I am a 17 year old female. I have been wearing a flipper for about 5 years now due to an accident that knocked my teeth out. I was wondering if it is possible to straighten my teeth before implants without having to walk around toothless? I really hate my smile and having to wear this flipper. I would do anything to straighten them out before implants because I know that it's harder to do so afterwards. What's the best option in my case? And how long would it take to straighten my smile?