No it doesn't, actually. From a prior post of mine on this topic:
First, it's incorrect to say that "all humans living today can trace their ancestry to [just] one man and one woman". Genetically, we all have many ancestors and there is no one genetic male ancestor nor one genetic female ancestor, nor was there ever any time where there was just one pair of humans on the planet.
Second, as the article makes clear, the timing is inconsistent with the versions that you've "heard" before in certain books.
For a clearer understanding of what the difference is between a genetic common ancestor and a mitochondrial common ancestor, see this excellent interactive Flash webpage on tracing ancestry. First click on different descendants and note how they are all genetically descended from multiple ancestors, and how all the ancestors have left descendants. Then click on the "Show mtDNA ancestors" button, and repeat the check of descendants -- you'll find that their *mitochondria* all descend from a single female.
For a fuller discussion, see What, if anything, is a Mitochondrial Eve?.
Palies now claim that all living humans have the same DNA as one early ancestor whom they believed came from Africa. Check it out.