LZW36 - Fan with Down and Up Lights

I have a fan that has two light kits on it. The existing RF remote controls each light with individual buttons and then three buttons for the fan speed.

Is there a way to use the LZW36 to control this fan? If not, how hard would it be produce a device like this?

The easiest way would be to install a smart relay in the canopy for one of the two lights. Wire the other to the switched hot. Then you can control both via the light paddle. One would be controlled by the on/off presses of the rocker. The other would be controlled via multi-tap and scenes.