Hi Afterlife - your question is not against the forum rules.
It is perfectly normal to want to protect your games, and the answer to your questions is YES it can be done.
First of all you need some kind of modchip for your PS2. Without going into too much detail the chip kicks in when booting the game and allows you to boot up your backup games. The best mods at the moment are the Messiah of Magic2. Depending on what mod you have means whether or not you will need a gameshark/actionreplay2. My advice is to make the investment in a better quality mod such as messiah/magic (if your machine is compatible). The messiah is a direct-boot mod - meaning game in power on play away, no need for swapping discs. You would need to tell us where you are before we can point you in the direction of mod-sellers.
Secondly you need a DVD-Burner if you want to back up your DVD games. Pioneer A04 is the preferred choice by most on this forum.
Thirdly you need programs to copy the games.
www.psxcopyworld.co.uk for these and their tutorials.
Fourthly you need some DVD-R media. Dont go for the cheapest out there as they will most likely fail to boot/play your games. Traxdata/Verbatim/TDK are good choices.
www.bigpockets.co.uk or
www.121cdr.co.uk (not sure of US sites if you are in US)
My advice is also to make some time to read through threads on this forum as this will improve your knowledge and potentially save you time in the long run.
Hope this is of some use to you, post back if you are still unsure.