Yes, Andrew. There is a way to achieve this in QuickBooks Online (QBO). 

QBO allows you to set up a class and auto-match them to your bank transactions. To do so, let's create a bank rule and assign a condition that matches your system-generated fees.

First, make sure to turn on the Class tracking feature. Please note that this is only available in QBO Plus and Advanced subscriptions. (If you already set up classes, skip these steps and follow  the instructions below.) 

Here's how to turn on the feature:

1. Go to Settings and select Account and Settings.
2. Click Advanced, then select the Categories section to edit.
3. Check Track classes.
4. Select Save, then Done.
   
   

After that, you can set up your class list.

Once done, you can perform the steps below to add class to your rules:

1. Go to the Transactions and then select Rules.
2. Click New rule.
3. Enter the name of the rule.
4. Under the Apply this to transactions that are section, enter the necessary details of the rule.
5. Under Assign, add the other info.
6. After that, click Assign more and add the class you created.
7. Once done, hit Save.
   
   

For more details about the process, please see this article: Create bank rules to auto-categorize transactions.

Finally, I've added these resources to help you review your transactions to ensure they're added to the correct accounts and make sure your QuickBooks records match with your bank statement:

• Categorize online bank transactions
• Reconcile an account in QuickBooks Online

Please don't hesitate to click the Reply button if you need assistance categorizing bank transactions and managing your classes. I've always got your back!