Yes. Some insurance carriers may offer as little as $5,000 of permanent life insurance protection.
However, these plans are usually offered with guaranteed issue policies for people of a specific age range, to help for such things as paying for final expenses for seniors.
For example, United of Omaha offers permanent life insurance with guaranteed approval for people age 45 to 85 years old.
This guaranteed issue policy requires no health exam, and you won't have to answer any questions regarding the status of your health.
You are guaranteed approval for a policy as long as you meet the age requirement and can pay the required premiums.
Here's how to get a life insurance policy with $5,000 of coverage.