The concept of tensile* space elevators only date back to 1959, a decade before rockets put men on the moon. And they seem very far off to me. Do we even have inches of the necessary construction material? As far as I know, we don't. Fairly soon? We seem about as far away, R&D-wise, as Hero of Alexander from the steam engine & Industrial Revolution.
* I am aware that Wikipedia dates it to Tsiolkovsky in 1895. If that's a space elevator, I humbly suggest that the true date of the space elevator concept be pushed back by around 3000 years to the Tower of Babel.
You are correct in saying that the technology isn't here yet. I do think, though, that the Hero of Alexander claim is a bit hyperbolic. I would be surprised if we had inches of the necessary construction material, but I think part of the reason why it seems so far away is that there isn't a major, concerted effort to do it yet. I'd say it sounds about as far off as the proposal to go to the moon did, before the US had even achieved earth orbit. Or perhaps, as far fetched as the theoretical scheme that the matter in the nucleus of atoms could be converted i...
http://www.slate.com/id/2283469/pagenum/all/
It's a long article, but the most relevant stuff is at the end, about how we're pretty much locked into the existing rocket technologies: