Yes, but then you are in the position of proving a negative. How could you prove you never signed a document that never existed anywhere as a real document?

The followup to a bogus deed would be a bogus or even legitimate mortgage taken out by the "new" absentee homeowner residing in Nigeria.

I can't prove it but I have always suspected that this is exactly how the 9/11 terrorists came to possess 50 driver's licenses from five states. It would have been a simple matter to e-file a change of address form. The state would then send your shiny new driver's license to the new address.