Yes, if they qualify for a policy thy can purchase coverage.
However, there may be limitations for approval based on your age and health.
Most seniors who need protection for their mortgage may need a 15 or 20 year term policy for mortgage life insurance.
But, some insurers have age limits on their policies, so if you are over 75 and have health issues, you may or may not qualify for coverage.
Here's how to learn more about mortgage life insurance for seniors.