In fact, there may come a time in your life when having a single policy is no longer enough to meet your specific needs and you find yourself contacting a life insurance company for additional coverage.
Having multiple life insurance policies is more common than you might think. For example, you may have a small whole life policy dating back to when you were an infant, and today - as an adult with financial dependents - need a second policy to cover the needs of a growing family. Or, you may have a permanent* life insurance policy to cover the balance of your mortgage, and another small term policy specifically for final expenses.
Another example may be if you have a small life insurance policy through your employer but would like to ensure additional coverage to protect your family and loved ones. That may be another case when more than one policy is needed to provide a level of desired protection.