I'd reckon most of the modern web frameworks can handle that (Rails, Grails, Django, Play, ASP.NET/MVC, PHP, Joomla etc.).
Even then it's not as simple as that, because you would need to have knowledge about the interals to tweak for optimal performance.
I'd say unless you are building something rather silly or are able to use multiple open source project from codeplex, github, sourceforge etc. that's still a long shot.
You will probably be better off modifying an existing CMS or similar system you are interested in to suit your needs. Even that will take you a while to go through the documentation to figure out what to do.
So I'd say, starting from scratch with a new language and a framework, what you are suggesting would be impossible. Even with experience and knowledge, 1 week is still a long shot (40 hours?).