In essence, you have two questions.
The first question is whether or not a rhinoplasty can help you. On initial exam of your pic, I do feel that your asymmetry can be corrected with a carefully executed rhinoplasty. However, more pics would be useful, and nothing can take the place of a physical examination.
The second question is whether or not insurance will cover this. The answer to this question is dependent on your physical examination, and the type of insurance you have. If the issue is cosmetic, the likelihood of insurance covering your case is slim.