You won't be able to truly stop invasion of privacy, so your next step is damage control.
If this is at a workplace, there is no "invasion of privacy."
A. Set up a workgroup within the network and secure it. Doing this will not stop invasion, but will let the intruder know that you are aware of the intrusions and are on the defense.
1.) The OP didn't mention anything about an "intruder." They were asking if the network admin would have access to their machine.
2.) Also, if the machine is a member of a domain, and the OP doesn't have domain admin rights, they can't remove the machine from a domain to create a workgroup.
3.) Doing this won't do anything to stop someone from accessing your files, and certainly won't stop anyone from seeing your network/bandwidth usage/history, if that is what the OP is concerned about. If they have any monitoring tools in place, this will do nothing to bypass/evade/stop them.
B. Work from within this network and password protect all of your files.
I don't think you really have a clue about network security, Bub, but nice try.
C. Clean your tracks after each session.
Can you define "clean your tracks" without mentioning clearing browser history and deleting cookies?
This is not the "solution" but it’s a start, who knows you may even gain a little respect :)
You might also piss off the network admin in the process, which will in turn get you watched even more closely.