Will there be a cure in male pattern baldness in the future? How long will it take?

Probably. There will probably be a cure (possibly involving stem cells) in the future. As to when, my crystal ball is on the fritz, so there's no way to know. Until then, hair transplantation is safe and effective (if a bit expensive) in the hands of an experienced hair transplant specialist.
Probably not. This will require stopping a particular genetic program. Look around -- the guys who go bald are mostly those who are naturally blessed with great chest hair. Altering individual genes is the dream of the future but altering one or two nucleotides out of several billion is still science fantasy. You're 16 & have been through a lot -- think about a fitness-focused lifestyle, hairy or not.