The goal here is to alias a real domain on the wider internet with something like a fake CNAME entry (or by any other means available).
For example, suppose I want to configure the domain fake.derp to point to/be an alias for google.com. So if a user who is connected to the VPN goes to the following URL:
They will actually be viewing:
Whether this is an actual alias (i.e., if you visited that link in your browser, you would see "fake.derp" as the domain) or just some kind of redirect (i.e., a load balancer etc. issues a 302 from fake.derp to google.com, while maintaining the path) is of no consequence. I'm just looking for a solution to "point" a fake domain to a real one in any capacity.
I realize that differences in VPN/proxy/load balancing/etc. strategies may impact the possibilities. But is this even possible on a fundamental level?