A ‘KVM’ is a box about the size of a small paperback book. It is uncommon to find a WiFi enabled KVM, however server rooms all over the world work on IP addressable KVM’s like these. In order to to WiFi or more likely 3G enable an IP-KVM you would need some form of router/modem dongle. All of this kit would need witing & plugging into the PC and the mains.
However… With a little bit of enhancement this DIY job could maybe have filled the bill.
Also thinking about the human factors. An unannounced and un-called for engineer turned up, plugged in at least two devices to the mains, re-wired the back of a PC or two, obviously checked with the staff that things were working and then left without any challenge?
I hope they look after our money better than that!