Yes, employees can, first make sure that the employees download the SumoPayroll app on his/her Mobile.
Step 1: Open mobile app and click on the menu (at the left side top corner) from the list select My Expenses
Step 2: Click on the +Add Expense button and now select the Expense Type then Date Incurred after that enter the amount and note about the Expense in the description box and select Save button to submit.