I think it's better to approach this from a different perspective. "Engineering relationships" doesn't work in general - if you approach people because you want

I think it's better to approach this from a different perspective. "Engineering relationships" doesn't work in general - if you approach people because you want something from them, they'll sense it very easily and push back. It's much better to approach people because you genuinely like them and want to learn from them. Many rich people have a ton of knowledge and experience that most of us don't, and it's genuinely interesting to learn from them. It's no good to expect anything, it's much better to try and learn from them just like from anyone else. If you approach it this way, it becomes an activity with very positive connotations, as opposed to schmoozing.