Yes, a fresh install of Windows 2000 updates OK from the Microsoft site. You have to run through a few hoops as Windows Update doesn't work with the version of IE on an original Windows 2000 install disk. Easiest way is to download SP4 from Microsoft, install that and then it all works fine. You'll get a load of updates, but I doubt that any of them are particularly recent.
I really used to love Windows 2000. The best version of NT, IMO. Small and lean, easy on resources, and did what you wanted. Unfortunately more and more stuff doesn't work with it.