Yes, the US mints have made coins for other countries in the past. No, this isn't one of them.
Given the reduction in size, I'd assume it was play money. But given that the other side is blank, it's likely it's an imitation coin intended for being mounted into something, like a piece of jewellery, a book or a piece of furniture.
Don't say "infinitely" when you mean "very"; otherwise, you'll have no word left when you want to talk about something really infinite. - C. S. Lewis