A similar service is available between libraries as “Interlibrary loan” or ILL-service. However, these schemes are slow and expensive.
The Pirate University is ILL organized by library users and fulfilled via the web. Request an article to which you don’t have access and someone with access might just upload it for you.
It is a new site – there have been only 29 article requests and less than a dozen responses – and it probably won’t gain much network effect but it is still interesting.