One of the uses of Process Monitor is to find and remove malicious software that tries to hide from the user:
Process Monitor is an advanced
monitoring tool for Windows that shows
real-time file system, Registry and
process/thread activity. It combines
the features of two legacy
Sysinternals utilities, Filemon and
Regmon, and adds an extensive list of
enhancements including rich and
non-destructive filtering,
comprehensive event properties such
session IDs and user names, reliable
process information, full thread
stacks with integrated symbol support
for each operation, simultaneous
logging to a file, and much more. Its
uniquely powerful features will make
Process Monitor a core utility in your
system troubleshooting and malware
hunting toolkit.
I am not saying that what you want to do is impossible, rather that you are trying to do something that feels a bit dishonest.
That being said I would like you to consider the fact that you are trying to hide a process from a utility that was written to find anything and everything by folks that are a lot smarter than you and me.