No, most money is created by commercial banks [1].
Treasury prints paper dollars which are sold to 'federal reserve' for pennies per sheet.
Treasury mints coins which are sold to 'federal reserve' at face value.
Banks create debt money via fractional reserve lending for cars and houses and whatever. When those loans are repaid that debt money is extinguished.
This is also why the government tries to persuade people away from auditing the Fed, as it would be the nail in the coffin to the ongoing crime that has been perpetrated for the past 110 years: unchecked government spending would be impossible without the money printer at the Fed, and would collapse the military industrial complex.
But it’s not. The fed is regularly audited in the usual sense by independent third parties.
https://oig.federalreserve.gov/reports/board-financial-state....
Additionally, every security owned by the Fed, up to the detail of the identifying CUSIP number, is also available online.