Is is possible to make popped potatoes?
The reason popcorn can be popped is that they have a water-impermeable hull, which contains the pressure of the steam created inside the kernel as it is heated, until it passes a critical point.  When that happens, the steam explodes out, breaking the hull, and creating the popcorn.  Some of the other puffed products are more complex, as the link you have already found shows.

Potatoes do not have a water impermeable skin, and so cannot be puffed in the same manner as popcorn.

There is a dish&mdash;sometimes called puffed potatoes&mdash;where the steam inside fried potato pieces is used to puff them up, but it will not be similar in texture to puffed grain.  See this recipe, for example.  They will be more akin to fluffy french fries (or chips, as they say in Britain).

There is another dish called puffed potatoes, which are essentially a choux paste with potatoes that are baked or deep fried.  They are a great dish, but are a different type of thing entirely. See this recipe from the great Jacques Pepin.