Uninstalling system apps is usually impossible if your phone is not rooted.
For non-rooted phones:
you can only disable the app. This would usually accomplish the same thing as uninstalling. To disable chrome, go to settings -> apps -> chrome -> disable.
For rooted phones:
You can use an app called titanium backup the app allows you to backup and uninstall system apps.
is my Google account automatically linked to my chrome?
No. The first time you open chrome, it gaves you the open between syncing or not.
To see if chrome is currently connected to your Google account, open your chrome browser, press on the three dots menu on the top right, press on settings, and there on the top of the screen it will say syncing to [your email address] if it says sign in instead of your email address, that would mean that chrome is not currently logged in to your account.