If it could be easily cured, don't you think more people would do so and that it wouldn't be that big of a deal?
You can't cure asthma. It's a chronic condition. Although many people grow out of it and some can get physically fit enough where they can control their symptoms better.
Also, staying away from your triggers, like smoke, strong odors, or allergens can help. I have also heard that moving to a dry climate like the desert or sitting in salt caves help some people with severe enough symptoms.
No vitamins, though.