As to your question... there is no market for that..... so no.
If you take a look at the schematic Dan provided you'll see there are several wires on both sides of that header that go to ground. If you pull off the plug and look closely at the PCB of the motherboard the pin 1 spot is usually indicated by a little white printed triangle pointed at that pin, right next to it. It will be small so get out a flashlight and (in my case) reading glasses.
I agree that soldering at the motherboard end is not a way I'd like to go, but at the other end of the cable...... That is a different story.
If you jumper in any way from the device end (far end of the cable) from the wire coming from pin 10 to one of the wires that is shown as grounded then you will have satisfied the motherboard's desire to see ground at pin 10. It does not matter whether you do it at the motherboard end or away from the motherboard as long as you connect a ground path to pin 10.
You can imagine that a HP engineer cannot say some things in this forum, and please make sure you understand the wiring fully from the schematic. You might even make a little map for us with the different colors of wires from each pin, and any blanks, etc. that might help others in the future. I have a Z620 I could dig into, but this is better done by you so you understand the process fully.