Yes, you can treat some of these inflorescences as cut flowers. I would usually wait until they are further along but that's an idea to bear in mind.
Some photos here of how to propagate Echeverias from leaves off a flower stem.
http://garden.org/thread/view_...
If I were you I would not be optimistic about the possibilities of doing this with your plant, given how tiny the leaves on the stalk are. Generally bigger and fatter leaves give better results. If you do try, be sure to provide protection from the sun while the leaves are rootless.
For what it's worth, I cut the flower stems off all my Echeverias except for one of each kind (sometimes not even that) in order to favor vegetative growth and lower the chance of bugs moving in. So there may be some advantages early on to a flower-less plant, even though it provides less of a show.