Can you give both prednisone and albuterol to infants?

Usually Prednisolone. Albuterol is routinely given for asthma in infants and a trial of albuterol is often given to see if it can help wheezing caused by bronchiolitis or other conditions. With asthma, Prednisolone is more often used than Prednisone but they are both steroids with anti-inflammatory activity. Prednisolone or Dexamethasone are the steroids most often used to treat significant croup in infants as well.
Yes. Depending on the issue or issues being treated, these are both used either separately or together.