Does cold air give asthma?

Depends. Cold air does not cause asthma but if you have asthma cold air could be a trigger for symptoms/exacerbation.
It can. Cold air can trigger asthma if you have underlying asthma. Cold air can also trigger spasm of the bronchial tubes even if you do not have asthma.
No. But cold air can trigger an asthma attack if a person already has asthma. And asthma is a chronic inflammatory condition which leads to 5, 000 deaths and 500, 000 hospitalizations per year. If you are unsure, get to an allergy/asthma specialist for testing. There are many triggers for asthma....Cold air is one of them.