by Ingrid Case Sales are surging for pet insurance, especially among younger dog and cat owners. But whether it makes sense for you to insure your dog or cat depends a lot on your approach to pet ownership, as I know from first-hand experience. Americans and Canadians insured two-and-a-half million pets in 2019, according to the North American Pet Health Insurance Association — an increase of nearly 18 percent over just the year before.