can you play burned game on an unmodded ps2?

im just wondering and if so can you tell me how to do it with out a modchip swapdisk or any of that crap please.and its a game that i love so yeah

As long as it is not pirated, and you are just using a copy to prevent wearing out the original, you can use a pc to copy the disk image, so it will be identical to the original, so should run with no problems.
... Unless Sony has done something odd about the formatting of their disks which a normal program won't copy. Which is the least that I would expect anyone worried about piracy to do, and Sony is certainly worried about piracy.
Then again, with the amount of pirated games about, you would expect someone to have made some software to deal with any formatting issues, seeing as it can't be that different to a normal DVD.