Yes, and then some! With Surround Core, when driving your rented or borrowed car, you are covered for injuries and property damage you cause to others in an accident. This coverage will apply in the United States (including Puerto Rico and U.S. Territories) as well as Canada.
Damage to the rental car is not covered under the non-owned auto plan, so be sure to either purchase from the car rental agency or check your credit card benefits as many include this type of coverage.
Check out this article to learn more about renting a car without insurance here.