Maybe. Assuming the VIC-20 supply is a later model that outputs DC, (earlier models were AC and the system had a built in power supply to do the AC-DC Conversion) and assuming you find the correct solder pads, use the correct wire pair (VIC-20 has 9V and 12V), get the polarity correct, Don't break anything when you solder it, and the Power Supply itself hasn't already failed in the typical way VIC-20 power supplies do where they deliver massive overcurrent, which would destroy the monitor. All of that- and assuming that there isn't some operational detail that I'm missing.