That's because the government there has made a law that bans anyone from playing electronic games in public.
They're doing it to stop people gambling illegally. But their law doesn't make any difference between online gambling and ordinary gaming.
The law even bans people from playing games in their own homes. But Greek officials say they're only going after people playing in public.
A group of people who run lots of internet cafés in Greece are trying to get the ban overturned.
So if you're in Greece, it might be a good idea to put your Gameboy away if you're in a public place!