Yes it often does, though it also may have small, greatly reduced and/or widely spaced teeth (so the name smooth agave is not accurate for many members of the species, and not one that I would use). The reason I would exclude that species is the plant does not have the characteristic urn shape with arching, recurved, guttered leaves (a sculptural form)
and it's growing a stem, which that agave does not (at least not as a distinct entity, until late in old age). I would also expect it to have more leaves at its current size. The rosette should be denser. Mainly it just doesn't look right to me for that species. I suppose all sorts of variation are possible in cultivation, but it's not ringing the right bells to me.
but when I couldn't find a match, I uploaded photos to the Plant ID Forum and someone gave the identification of Agave de-meesteriana 'Variegata'. The plant eventually attained more variegation on the leaf margins and also grew the very sharp pointy tips. I don't do well with sharp, pointy objects so I donated it to the local humane society thrift store because they sell misc. plants. 
I've already submitted the proposal to have it deleted and don't know if there's a way to cancel my request. 
I did find that trunk interesting, definitely stumped me.
