Yes, it is possible to set up multiple classes for one employee. Let me guide you on how to do this, llcall.

In QuickBooks Desktop, we can turn on the Select Earnings item option. This allows you to assign a different class to each payroll item for the employee when creating a paycheck.

Here's how to set up this preference:

1. Go to Edit on the top menu.
2. Choose Preferences.
3. In the Preferences window, select Payroll & Employees in the list on the left.
4. Tap the Company Preferences tab.
5. In the Assign one class per section, select Entire paycheck or Earnings item.
6. Press OK.

You assign the class for the paycheck or the payroll items when you generate the paycheck.

For more details about class tracking check out this article: Set up and use class tracking in QuickBooks Desktop.

Visit our Payroll Helpful Articles page for more insights about managing your payroll. 

I'll be right here to continue helping if you have any other concerns or questions about QuickBooks. Assistance is just a post away. Take care always.