I don’t think you intended this, but it made me chuckle… Your comment essentially boils down to “come from a privileged background and things will work out”.
That's an uncharitable read. Connections can be made, not only received.
Networking is different kind of work than sitting at a desk, but it's still work. The benefits of that work are seen next time you want a job. Every freelancer operates this way, for example.
Specifically, I asked a former colleague at Google to to ask one of his connections at the prospective employer to ping HR. Sounds like you thought I was asking my dad's friend to help me or something...?