Did the idea of “making money” originate in the United States?
No, the idea of wealth as something to be created did not originate in the United States.  It was part of the mercantilist approach to national economic policy that was widely adopted in Europe in the 16th to 18th centuries.

Mercantilism involved a range of policies, many of which were designed to increase the wealth of one country at the expense of others and probably reduced wealth overall, eg restrictions on international trade, and warfare to gain control over sources of goods.  However, it also involved policies that were not at the expense of other countries, including promoting industry via research or subsidies, maximising the use of domestic resources, and (see under France in the link above) decreasing internal barriers to trade, reducing internal tariffs, and improving infrastructure.