Yes! Rewards earned on your credit card are a separate program tied to a specific account. Cash-back deals are personalized deals, created based on your card usage and active participation. They're earned on top of the other rewards programs and benefits your card offers, unless otherwise noted.
As an eligible U.S. Bank cardholder, you are automatically enrolled in the cash-back deals program. However, you will only receive cash back on the deals you activate and complete. See: Which cards are eligible for cash-back deals?