Yes, a 65 year old may qualify to purchase either term life insurance, whole life insurance, or guaranteed approval life insurance coverage.
The cheapest type of life insurance plan for 65 year olds would be term life, because it offers temporary coverage, usually up to 15 or 20 years for sixty-five year olds.
Whole life insurance is more expensive than term life because it provides lifetime protection, as long as you pay your premiums.
And, if you have a pre-existing health problem, or you have been turned down for insurance by other life insurers, then you may want to consider buying a guaranteed approval life insurance plan, which guarantees your acceptance if you meet that age requirements; for example; ages 45 to 85.
Learn more about buying insurance for people over 65.