Admittedly, no. But, in addition to that, he has a Physics degree from UPenn and was accepted to a PhD program in MechE at Stanford, was co-founder of X.com, is Chief Engineer at SpaceX, and has some of the most respected people in their respective fields (some of whom have worked closely with him) vouch for his engineering chops (Andrej Karpathy[0], John Karmack[1], Gareth Reisman[2], an astronaut and Professor of Astronautics Practice at USC, Jim Keller[3]).
Unless you present your engineering qualifications that are of equivalent credibility as that of the aforementioned people, as well as present evidence that you've worked with him as closely with Elon Musk as some of these folks have, I'll stick with my conclusion that, yes, he's indubitably an engineer.
