Are there ways to correct a barrel chest in a 22 year old?

Without photographs it's impossible to comment specifically. There are some very aggressive operations to correct chest wall abnormalities directly. Breast augmentation however can often times camouflage these substantially.

Difficult to give you  precise advice without viewing pictures or in-person examination; consider sending frontal/side view photographs with your next post. Sometimes, breast augmentation surgery is a good option to help “camouflage” chest wall aesthetic concerns.  You may find the attached link, demonstrating some example cases, helpful to you. Best wishes.

Unfortunately, without the photos-- it is impossible to give accurate assessment-- please upload the photos. Sometimes you can hide the barrel chest by high profile implants over the muscle with attention to maximizing the cleavage.