Yes, most of the time, you can. If you buy joint health insurance, your partner can be added to your plan, and family insurance means you can add your children to the policy.Some policies offer free cover for newborn babies, but there may be some limitations, so be sure to check with your insurer about this particular cover if you’ve had a new baby. Don’t forget to shop around and compare quotes with Utility Saving Expert to find the perfect deal for you and your loved ones!