Yes, in fact, these plans are called "Guaranteed Issue" life insurance and they guarantee approval for coverage of anyone who meets the age requirements for acceptance, and lives in a state where the insurance carrier offering the coverage is licensed to do business and offers the plan in that state.
The age requirements for these plans will vary by insurer, usually from 45-75, 40-80, or even 45-85 years of age.
In addition, the amount of guarantee life insurance available for seniors will vary by insurer to around a maximum amount of $20,000 - $25,000 usually.
However, if you need more guaranteed coverage you may purchase a policy from more than one life insurance company.
Learn more about guarantee life insurance for seniors with no exam.