The answer is NO, since the package app is only for making searching on Google easier, it is only associated with the Search Bar on the home screen, and has nothing to do with the Google search. The reason why the package is inbuilt into the system software is to add the widget to the home screen, and it will directly search what you want through text or voice search. Though it is to make the process easier, it sometimes acts out causing internal errors in the phone, so if you wish to not have it on your device, you can either disable the app package or uninstall it. The uninstalling process is a bit complex considering the demerits associated with it.