Is it possible for a guy to genuinely like you but never reach out to you?

Is it possible for a guy to genuinely like you but never reach out to you? I’m in some dire need of guy advice. My crush liked me, but it was very obvious that he was shy talking to me. For example, one time I was sitting down on a bench, and he sat down next to me. He was fiddling with a screw in the bench for a good, five minutes until I’ve finally initiated. He was taken, so he cut off contact with me. I don’t want to get into the whole story of what happened, but let’s just say he did it very sloppily, and I got really upset with him and I blocked him on social media. He’s not blocked anymore though. Since he’s been single, he hasn’t reached out to me. Another factor too is that we live in different countries. I know he doesn’t owe me a relationship. But I know he genuinely did like me. And I don’t want to be the one that’s always paving the way between us.