Yes, there are plans available, usually "Guaranteed Issue" which offer life insurance for people age 85 and under. Some insurers have guaranteed issue life insurance plans available to people ages 45 to 85.
With guaranteed issue coverage you may choose up to $25,000 of coverage; however, your death benefits are graded, which means you will not have full coverage until you have been insured for at least two years, usually. However, this graded benefit period depends on the insurance company and life insurance product you purchase.
The good news is that guaranteed issue plans usually do not require you to take a medical exam or answer any questions about your health.
Learn more about how to get elderly life insurance over 80 years old.