Yes. The total amount deposited daily or weekly is limited. If you're not sure what's the specific limit for you, please refer to How do I view limits for my accounts?

Your mobile deposit limits are the only limits that are specific to you, not your accounts. You can deposit funds into as many accounts as you'd like, up to your limit. Once the daily or weekly limit is reached, you'll need to deposit the additional items at a U.S. Bank branch.