It honestly depends on the model of 360 you have. Some of the older DVD drives in 360 could be done with a PC and compatible sata chipset using jungle flasher, powering the drive with the 360. However I'm pretty sure it ended up been better / safer buying tools from the likes of Team Xecuter.
You'd need to know what model drive you have, but i think in this day and age you will probably have to buy some hardware to help you get this done.