The platform is owned by Google. By using YouTube in any way, watching, liking, subscribing, commenting, searching, clicking, all of it, you're "using Google".
So, the answer is that you cannot use YouTube and not use Google.
If Google is broken up, that might change, but I'm not sure if that will ever happen, what form that might take or if it would ever happen at all.
The port number on the outside doesn't have to be the same as the port number on the inside.