There is actually a theoretical explanation.
We live in a universe filled full of choices and decisions that happen every minute of everyday. Some of those choices are ones we make, others are choices that other people make. At the end of the day though we only ever observe one outcome.
There are however people that on occasion say they see people walking in front of their cars and disappearing like you mentioned, or seeing "Doppelgangers" of people in places where they aren't (Like seeing someone drive past, but then seeing them drive past again).
This I believe is pretty much to those choices being complicated by a "paradox". The paradox I'm suggesting is that somehow "both" choices are made, not just the one observable one. This means if you are an observer of a universe totally unaware of two choices being made, occasionally you'll see a Butterfly Effect and observe a universe but only Holographically.
A premise follows:
A suicidal nutter is contemplating ending their life by any means necessary, Their depression is so great and so personal that no doctor can fathom their intent or understand their problem without turning to use some very sophisticated surveillance technology. This technology allows the matricing of the person within radiologically rich environments and over years it's possible to piece together how the person thinks and acts day to day.
However while existing in this framework of radiology and computer processing, there are potentially ways to generate paradoxical events. (I'm going to spare the details on these).
Anyhow this particular surveillance method opens up the probability of viewing multiple outcomes in regards to this suicidal nutter. Day by day they plot what action they are going to carry out, each thought is itself a universe that can unfold in their untimely demise while the operators of the equipment try to get the nutter to reconsider.
The nutter thinks of slicing open their wrists, jumping in front of buses, jumping off of buildings, walking into the sea etc. Each thought is as I mentioned granted the potential outcome that they suceeded (along with a list of failed outcomes)
I guess what I'm trying to convey as a Hypothesis is that such a nutter considered going to the nearest road and walking in front of a car, Which just so happened to be your car. Now they didn't physically make it because they either had someone stop them from leaving their rather secure psychiatric ward or they have already managed to bump themselves off (In this universe).
You would have been blistfully unaware of this "multiworlds" event, should there actions have been carried out in both worlds or to be honest overly away (Like a dead guy under your car)
I guess you can say you are now living a paradoxical lifestyle, since you could suggest "
You know what the cat saw/felt."