This is not correct. Most US coins (other than the cent and the 5 cent nickel) cost much less to make compared to their face value. For example, it costs just a bit less than 6 cents to make a dime, and just shy of 15 cents to make a quarter [0]. The "profit" that the government makes via minting coins and printing currency is known as seigniorage [1], and is reflected in the government's budget as revenue.

[0] https://thehill.com/homenews/nexstar_media_wire/5136331-how-...

[1] https://en.wikipedia.org/wiki/Seigniorage