Having card insurance when you go on a trip is usually not enough. The card insurance is a supplement to the home insurance and the card insurance does not cover, for example, the costs of medical care, repatriation, serious incidents at home, liability costs, etc.  

Depending on which card you have, there are differences in what is included in the card insurance; Cancellation insurance, delay compensation and deductible cover (home and car insurance) are usually included, but there are cards that cover more. It's important to double-check what applies to your card insurance to be sure you have adequate protection during your trip.  

It may be wise to supplement with separate travel insurance to be extra sure that you are well protected.