It is possible but not owning an A570 I'm not sure how they behave and what options you have.
1. Can you boot from an A570? Maybe you have to boot from floppy then continue on from CDROM?
2. How much memory do you have?
There aren't many games that are hard drive installable (and therefore able to be copied onto CDROM). Thanks to WHDload and JST there are now many more but some of them require Kickstart 2.0+ and usually at least 2 megs memory.
You should be able to get Amiga DOS games (eg: Wings/Monkey Islands 1 & 2) to work and the single-file games (Virus/IK+) but there are not many of them around.