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. These rewards are applied as a statement credit directly on the account you made the purchase on.

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?