It will require some rewiring, but it can be done. The easiest way to do it is find a wiring diagram so you can find the switched power to the fog light relay. That is how they regulate the lights to only come on with the low beams. If you can find the wire that is only hot when the low beams are on and switch that wire so it has power whenever the ignition is on, then you'll be able to run the fogs any time you want.
The fog light relay is under the hood in the front of the car on the driver side just to the right and below the level of the battery. With the hood up and the lights on and turning the fog lights on and off you will find it.