Possible to update Flash without admin rights AND without internal server?

We have numerous laptops and tablets that are rarely, if ever, connected to our internal network.  All of our users are standard users; our users are not allowed to be administrator users.

Nonetheless, we'd like Flash Player to automatically update itself from Adobe's servers all the same.

Is it possible to have Flash Player automatically update for non-administrator users without connecting to our internal server?  It seems like we could somehow use the Flash updater service, which runs as the SYSTEM account, to do this.