Yes, there are many life insurance companies that offer coverage to people over the age of 50.
However, your health, occupation, hobbies, height-to-weight ratio, driving record, and credit history will affect your approval, as well as, if you smoke or not, among other factors.
You can contact a local life insurance agent to sit down with you and review your options for life insurance coverage.
Term life insurance will be your cheapest option, since term life is temporary and provides coverage for up to 20 years, or until you reach age 65 or 70. Level term life insurance will provide you with rates and coverage that remain level (the same) throughout the term (duration) of your term life insurance plan.
Here's how you can learn more about Over 50 Life Insurance and how to compare life insurance rates and plans online.