Ooooohhh - fun thought!!!
I think there's a couple of sci-fi stories regarding things like transporters with similar plots.
If I were to use it in my campaign, I think I would make the phenomenon a rare or even one-off event - something that was recognized (more likely argued over) as theoretically possible but had never been proven to occur. Unless you have a certain type of drive failure or your calculations are off in just the right direction in a specific set of circumstances (i.e., within 100D of a large gas giant with an acceleration of 6G or higher).
Makes for a nifty explanation for a misjumsp. Throw in a relative time shift (you arrive in the parallel dimension X hours before you left the old) and you have the makings of a really wild scenario....