No. Depends. From A1200 early boot screen choose disable caches and original chipset, so you can get some old games to work. Or install the (original) games with JST or WHDLoad installers to your HD. Or get a bunch of degraders from Aminet - some of the best ones are Degrader and TUDE.
Or get Relokick floppy to boot to 1.3. So many different possibilities do exist.