Yes, actually there are many insurers that offer life insurance plans for seniors up to age 85.
There are term life policies and whole life policies available for elderly people.
Term life insurance offers you temporary coverage for a duration of up to 20 years usually, if you are a senior. While whole life which costs more will offer lifetime life insurance protection.
Your acceptance for coverage will depend on your age and health; however, if you do have health issues there are guaranteed approval life insurance policies available for people age 45 up to 85.
Keep in mind, rates vary by carrier and age, so it's important to compare pricing and coverage from several insurers and get covered sooner rather than later because it will cost more as you get older.
Here's how to get life insurance for old people.