Actually you can store stackable items. And yes you can hook it up to an ME network.You can use a filing cabinet for princesses but not drones. Also the princesses from MB and EB have a different ID than forestry bees so of you use regular filing cabinets you will need 3. Your best bet would be to use a magic filing cabinet. If I am remembering this right the filing cabinet can't store non stackable items, so you will need to store the drones somewhere else.
Side note: would it be possible to hook up a filing cabinet to an ME network? I need to know for... reasons...