Yes, and no.
Article 1, Section 10.
No state shall enter into any treaty, alliance, or confederation; grant letters of marque and reprisal; coin money; emit bills of credit; make anything but gold and silver coin a tender in payment of debts; pass any bill of attainder, ex post facto law, or law impairing the obligation of contracts, or grant any title of nobility.
The Founders argued this point. Go read what they said. It’s quite clear.
States are not permitted to coin their own money and they are required to accept Federal coinage in gold and silver as payment. Although Congress at the time allowed coins of other nations to be used. The Spanish Duobloon was used until well into the mid 1800s for example.
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