I'm not an expert, but I would guess it would be possible to have an exact match on the genetic fingerprinting, but then do a full genome sequencing to confirm that the two samples are from different people.

The funny thing is that although I have often heard about the police finding an exact DNA match with someone who was provably not at the crime scene, I've never heard about anyone doing a different DNA test afterwards to investigate what happened: did a fragment of skin get carried in the wind from one city to another, did samples get mixed up in a laboratory, or was the match a false one, akin to a hash collision?