Is it possible to induce an asthma attack?

Yes: Some physicians used to test for asthma with what is called a methacholine or histamine challenge test. These chemicals when inhaled in an asthmatic would cause bronchoconstriction of the airways at lower levels of the drugs than non-asthmatics. This is not done much (maybe not at all) anymore. Now asthma is generally diagnosed through clinical means - history and symptoms and reactions.