Interesting, now that you mention it I can't think of any French names that are 2 letters long. But in English we have tons, "Ed Mo" is a perfectly plausible name.
[1] http://www.geopatronyme.com/cdip/lettresnoms/lettres1-3.html
Edit: Funny observation - when you use the system that's linked to try and look up the public records, it won't even let you search for names with less than two letters.