You only need admin rights if the installation tried to modify files that you as a regular user can not modify.
If the application(chrome) is only an exe file that can run on its own and does not need any libaries or needs to change some system settings, it is essentialy a “portable” app, aka there is no installation, its just executing a sigle file that runs with the same permissions the user has.
It is exactly as secure as you deleting/editing files on your own PC is, you can do a lot of bad stuff but not break it or make it dangerous for other users.
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