Yes - as of Openclerk 0.15, graphs throughout the site will update themselves automatically with the most recent data. By default, graphs will only update themselves every 30 minutes; graphs displayed to premium users will update themselves every 10 minutes.
Note that not all graphs have data that is updated this frequently. Your account data and reports are still only updated according to your data update rates (once every 12 hours for free users, or every 1 hour for premium users). Other graphs, such as ticker and historical graphs, are updated much more frequently for everyone.
You may disable live graph refreshes by logging into your user account and disabling "automatic graph refresh".
You may also force a graph refresh by clicking on the "last updated" field on the graph new.