I guess they do, else they wouldn't make those coins. And they know that as a independent country they have the right to issue currency coins and nobody else can.
No I dont think I saw the Pacman coin, but I have seen plenty of other. There is just about everything out, Simpsons and Star Trek and Batman and whatever. But those are usually quite expensive, not my thing. I'm a stacker, not a collector.
You can check my post here: https://peakd.com/hive-140084/@thebighigg/silver-pac-man-and-ghost
They are literally meant to be stacked, you'll see in the pictures! They make so many coins it's mind boggling!