Sometimes there are solder bridges along a PCB trace (by design), or zero ohms SMD resistors that can be desoldered, meant to isolate the power supply from its loading circuits. Sometimes there can be fusibles or ferrite bead that can be removed to isolate the power supply stages.
If not, might be easier to just cut the power trace right after the voltage stabiliser circuitry then to desolder parts. Cut away the load, repair the voltage sources, then connect back the traces with their load, one by one, using solder bridges over small (milimeters long) pieces of copper wire.