Yes. You may purchase one or more life insurance policies as long as the insurance company agrees to insure you.
Term life offers temporary coverage for a period of up to 30 years, which is good for protecting your home mortgage and providing affordable coverage until your family is grown, and the kids are out of the house and supporting themselves.
Whereas, whole life insurance costs more and is better suited for your long term needs lasting more than 30 years.
Learn more about buying term and whole life insurance policies.