No. If you assign both the VH-14D and the VH-13 to HI-HAT, no sound is output by the VH-13.
If the VH-14D is assigned to HI-HAT, you can’t use the VH-13 hi-hat controller, but the pad only can be used to trigger hi-hat sounds. In this case, connect the TRIGGER OUT of the VH-13 to any TRIGGER IN jack besides HI-HAT, and set the trigger type to “VH-13.”