I would think yes. I looked up the specs on a Rainbird DV valve.
Solenoid coil resistance: 38 Ohms
24 VAC 50/60Hz (cycles per second) solenoid power requirement: 0.450A inrush current, 0.25A holding current
Since the controller provides 24VAC and the appropriate current, you should be able to source a relay that can be controlled by this same electrical parameters and be able to switch the lights that you are using AC or DC.