4 pin connector and has sufficient wire guage from the supply it may work. HOWEVER the 12 volt rail must also have the capacity to handle the extra load.
Before this the mobos powered the onboard regulators for the CPU from either the 5 volt or the 3.3 volt rails. The high current demands of the P4 caused too much current to flow, mainly in the printed wiring on the mobo. This could cause poor regulation due to varying voltage drops, but in some cases melted the lands.
By trading voltage for current they got the power at a lower current. Then the onboard regulators had to reduce the higher source voltage down to the very low voltages that the CPU uses. The total load on the supply doesn't change however the 5 or 3.3 rails get unloaded but the 12 volt rail gets increased loading.