Yes. The policy of each rental car company sets minimum age requirements, which will meet or exceed applicable state and/or country laws. Prior to renting, read the Age Restrictions section of the Important Rental Information on the payment page for rental cars on their website to see the specific minimum age requirements of the rental car company from which you plan to rent a car.
Typically, rental car companies have two minimum age requirements, one that applies to their rental of compact and intermediate sized cars and another that applies to their rental of luxury cars.
Sometimes a minimum age requirement is a range such as 21-24 years of age. For example, a company may require you to be at least 21-24 years old to rent their economy, intermediate, and certain other vehicles, but require you to be at least 25 years old to rent one of their luxury cars.
Furthermore, rental car companies may also have surcharges, specific rental car insurance requirements, and other policies that apply to you if you only meet the minimum. You will need to consider such conditions too as they could affect your ability to rent a car.