I'm unsure of that, but there are plenty of warnings out there about mixing medications.
Here's what SeaChem says about using Cupramine with Prime.
Q: I've been dosing with Cupramine™ and then I added Product X and everything died. What happened?
A: If Product X is a reducing agent such as ParaGuard™ (or other aldehyde based medications), or if you overdose with a dechlorinator, such as Prime® then the Cu+2 will be reduced to Cu+. Cu+ is 10 times more toxic than Cu+2.
So yes in this case I'd avoid using Prime and Copper together. Any reason you don't want to treat via Hypo? You may want to look up particular fish and sensitivities to Copper. You may not even be able to treat your fish with it, I'd have to look over your fish list again.