Will your child outgrow asthma, and can it be cured? The American Academy of Asthma, Allergy and Immunology has some authoritative answers to these and many other questions. Although asthma is a chronic condition, asthma-like symptoms can present in very young children and can be treated. They will in all likelihood grow stronger and the symptoms will subside. Full asthma has no cure but it can be mitigated with treatment and knowledgeable management.