Some people say no, but speaking from experience, I would say yes! I had it as a baby (Mum took me to Drs who said it was the pox).
I then had it again when aged 22 (again confirmed by GP).
So either:-
a) You can get it twice
or b) One or both of the GPs was incompetent, and thought it was chickenpox when it wasn't.
Incidentally, when I had it aged 22, it was very mild - I hardly felt ill at all.