Access Control

Hello

I really know nothing about wordpress, but is it possible to control who has access to which item in a wordpress blog (which I will host on my server)?

In particular, is it possible to set up wordpress so that it selectively gives access to a particular item or items after payment of a fee and then expires after a set period of time has passed? In other words, I am looking for a very granular user access facility with an expiring payment facility.

Thank you
Andrew