Can you get Chrome itself without admin rights? That would probably be as beneficial or more for circumventing draconian (and short-sighted) IT policies.
Yes, it is possible to install Google Chrome without having local administrator rights. It installs itself into the user's "Application Data" folder. A user cannot set it as the default browser without having local admin, however.
If an administrator installs the "multiple user" version of Chrome on the computer (which is installed in the "Program Files" folder as per a normal app), the next time a user runs their "single user" version of Chrome it will display a message that the multiple user version has been installed and their single user application is uninstalled.
It's more common than not for large organizations to prevent regular users from installing software, via group policy. Getting a copy of it isn't the problem.