Sort of.
Yes, current information indicates mankind (however we started) began (that is the oldest findings of fossils and artifacts) in the African Continent around the Rift Valley area, if my memory serves correctly. Mankind moved out from Africa in one or two 'waves', depending on which information seems more correct.
However, the information suggests the first humans existed about 150,000 years ago and started exiting Africa 55,000 to 60,000 years ago. This from a report dated in May of 2007. (
http://www.sciencedaily.com/releases/2007/05/070509161829.htm)
Now here's something I want you to think about and discuss with yourself: The YEC movement in general adhere to the chronology of James Ussher (or Usher, depending) Bishop of Armagh in Ireland. The Bishop's chronology was based on a 'literal' reading of Genesis, with additional information based on the 'literal' lists of genealogies in the Old Testament.
That comes out to 4004 BC as the year of Creation. So - according to Bishop Ussher, the Universe is now (as of Jan 2014) 6,018 years old. According to one 'timeline' (
http://www.scribd.com/doc/35220255/Timeline-Chart-bishop-Ussher) that creation date has been revised to 4175 BC, making the Universe 6,189 years old.
Here's the question: How do you justify (what caused you to think or believe) the Universe could be older than that? And, what causes you to think or believe the Universe is no older than '... a few hundred thousands...' of years?