Yes, a person may own one or more life insurance policies.
It really depends on your own personal life insurance needs.
Since you may take on greater financial responsibilities throughout your life, your need for additional life insurance may grow over time.
For instance, you may purchase a life insurance plan while in your twenties, but if you get married in your thirties, you may find you have a need for additional life insurance, especially if you start a family or buy a home.
Life insurance companies understand this, and they do allow you to have more than one life insurance plan.
The insurers aren't as concerned with how many life insurance policies you own, as they are with the total amount of life insurance you have.
Here's how you can learn more about having multiple life insurance policies.