Yes. There are life insurance plans available for 81 year olds.
However, most of these plans would likely be Guaranteed-Issue, which means there is no health exam required, and there are no questions asked about the status of your health.
As long as you meet the age requirements for apprvoal, you are guaranteed acceptance for coverage.
These guaranteed issue policies offer a limited amount of life insurance coverage, usually up to $20,000.
And, they come with Graded Death Benefits the first 2 or 3 years you are insured.
Here's how to get life insurance for seniors age 81 or over.