Yes, there are insurers that will offer mortgage life insurance to senior citizens.
However, the duration (term) for coverage may be limited to a period of 10, 15, or 20 years depending on your age and health.
When selecting a policy you'll want to match the duration of your mortgage with the term of the policy. So, if you have a 15 year loan you'll want a 15 year term life insurance policy.
In addition, you'll want to select an amount of coverage that equals how much you currently owe on your home loan. So, if you owe $200,000 on your mortgage you'll want a life insurance policy in the amount of $200,000.
Here's how to learn more about senior life insurance for mortgage loans.