Is it actually possible to repair a salvage vehicle, and what does that process look like?

Yes, many salvage vehicles are repaired and returned to the road, though the path depends heavily on the damage type and your state's title laws. Typically you'll need to: source replacement parts, complete the repair, pass a state-mandated salvage or reconstructed-vehicle inspection (which verifies the VIN, checks for proper repair, and sometimes screens for stolen parts), and then apply for a rebuilt title through your state's DMV. Some states make this straightforward; others have strict caps on what can be rebuilt at all, so it's worth checking your local DMV rules before you bid.