Yes they solely have the power to print US money. These are the congress's enumerated powers
Print money
The constitution gives the power to print money to Congress.
Print money
executive branch
The Treasury and US Mints.
executive branch
Article I Section 8 of the United Constitution grants power to Congress to "coin money" and "regulate its value." In effect, The Department of the Treasury prints money under the authority of Congress.
The power to coin money is an expressed power. This is a power that is provided to Congress in Article 1, Section 8 of the US Constitution.
Delegated powers are powers that belong only to the federal government. Some examples are: coin money, declare war, regulate trade between states, regulate immigration. Another example of "Delegated Power" is: Police have the power of search and arrest, however in some states that power is delegated to others for the purpose of entry, and arrest, for animal abuse crimes. While this is specifically prohibited, as they don't have an oath of office, as well as court cases, it is done all the time.
The power to make war the power to make peace power to conduct foreigh policy power to run a post office power to ....the state for money, soldiers power to borrow money power to print money
Congress has the right and power to Coin money, declare war, to raise and support armies, lay and collect taxes, borrow money, impeach a president, and many other things.