Networking i.e. building relationships has 3 key steps. Know; like; trust.
To build trust quickly you need to do something which I find doesn’t happen often enough these days. You need to be reliable. Do what you say you’re going to and do it when you say you’re going to do it. After you have met someone at a business event and promise to call them, do so! If you promise to send them something, send it! If you promise to make the introduction to someone else, make the introduction!
You can build and destroy trust simply by being reliable, or not as the case may be.