Yes!

Rewards earned on your credit card are a separate program tied to that specific account. These rewards are part of the terms of the card you have.

Cash-back deals are personalized to you and are not tied to credit card rewards programs. Instead, they’re based on your card usage and active participation.

As an eligible U.S. Bank cardholder, you are automatically enrolled in the Cash-back deals program. All you need to do is activate the deals you want and complete the terms. 
See also: How do I activate new cash-back deals and view previously activated ones?