External Hard-drive for PS4

I have an old hard-drive that i was trying to set up with my PS4 but you need a USB 3.0 connection for it to be compatible with the PS4. Unfortunately my hard-drive only has a connection for USB 2.0. I was wondering if its possible to get a USB 2.0 Type B to USB Type C cable and connect it to a USB Type C to a USB 3.0 Type A adapter and then connect that to the PS4. I want to know if it will work first instead o spending £20 on those adapters and it not working.