Yes, in fact, seniors may be able to choose term coverage for a period of 5, 10, 15, 20, 25 or 30 years.
Your options for term coverage as a senior will depend on your age and health, in addition to your personal risk factors which may include your occuation, hobbies, lifestyle, tobacco use, height-to-weight ratio, driving record, etc.
When comparing plans and pricing make sure you get multiples quotes from several of the leading life insurance carriers. That way, you can objectively compare the most affordable policies available for a senior citizen.
Here's how to compare term life insurance rates for seniors.