Can a HEI coil trigger a Mopar ECU?

So. my other "Mopar" besides the Charger and the Demon is a 71 Jeepster Commando. I recently swapped to an HEI on the Dauntless V6 ( yes, the odd-fire) and I'm a little let down. As it already has a 69 unsilenced air cleaner and a Coronet Day/Night mirror - can I fire plugs with the HEI wired into the Mopar box? Anyone done this?
I may have misunderstood. Do you have a complete HEI system? That is HEI dist and HEI module. Then if you do, don't screw with a Mopar box