That's possible, but before throwing my instructor under the bus, I must confess that reading this thread, I was thinking of a DSMB, not a SMB. I am certain we never did a DSMB, but am not so sure about whether or not we deployed one on the surface. I did deploy one on my very first post-certification dive, so it's not a difficult skill, whether or not it is specifically taught..
My instructor was not great, but wasn't terrible either. He was big on getting buoyancy and trim right, but some of the skills demonstrations tests were weaker, and he let me go on at least one that I knew I didn't do very well.