Should a 1999 Dodge 1500 truck 5.2 liter engine ignition coil spark continuously?

No, a 1999 Dodge 1500 5.2L engine's ignition coil should not spark continuously. A continuous spark indicates a serious problem, likely a short circuit somewhere in the ignition system. This could damage the coil, the PCM (Powertrain Control Module), or even cause a fire. The ignition coil only fires in short bursts, timed precisely by the engine control unit (ECU) to ignite the air/fuel mixture in the cylinders.