Filing cabinets have drawers that can either be operated with a small handle at the front of a button that one needs to press to open. Those drawers can be removed; however, the possibility also depends upon the type of cabinet you have. The usual method is to remove all the items from the cabinet before you take out drawers. The drawers would not just pop out. You will have to use some tools such as screwdrivers to work on internal parts. If you are working on all the drawers, then start from the top.