Large companies are probably even less likely to hire due to networking - it helps more with smaller companies. I have helped gotten friends hired at companies I’ve worked at, and vice versa.
My boyfriend got his current job when my friend mentioned that her friend had the same degree as him and had mentioned the company was hiring, would he like to be put in touch? The company is about 15 people altogether.
Depends on what you call networking. Being involved (speaking), mentoring, reaching out to people in your social circle who have contacts in professional circles you're interested in, etc. Networking isn't showing up to a something posted on Meetup.com, grabbing a slice of pizza and a drink, and making small talk.