One of the most dangerous fallacies in the world. Wealth does not create poverty.
Poverty is the natural state of humanity - we evolved from being apes and crawled out of jungles, caves, and forests, and have been fighting nonstop to improve our lot. The question shouldn't be, "How come some people are poor?" but instead, "How come some people aren't?" Poverty is the natural state of affairs.
This is never more obvious than when I'm somewhere with mixed levels of wealth. I'm in Northern Thailand right now. The poor in Thailand come from little villages where people barely subside on rice farming. No one "made" them poor, they've been poor for basically forever. Sometimes the poor farmers leave and go to the city to try to make money and make a better life. So they work in rather unpleasant jobs (construction, cleaning, cooking, etc) for far more money than they would've made subsistence farming. No one's making them poor - the jobs, unpleasant though they are, are far more pleasant for them than where they came from.
Wealth comes from people who coordinate, manage, invent, develop, streamline. People are willing to pay for these things, so the producers become wealthy. In turn, the wealthy people can purchase things from the poor people - which makes the poor more wealthy too.
More can be done. But the idea that making things people want and improving the world and getting compensated for it is creating poverty is false.