Is it possible to print from an Android device (Samsung Galaxy Tab 3) via mini-USB to USB adapter?

I know you can hook up your printer to the wireless router and connect and print from the Android device via HP ePrint software. But is there a way to simply connect a device directly to the printer via USB and start printing? If not, what is missing? Linux drivers? A general printing interface? (I don't know how any of this works, so I'm taking wild guesses.) Printer is an HP LaserJet 2840, by the way.