It certainly can and it certainly did. It surely does help in reducing poverty. Bitcoin itself doesn't have the power to reduce poverty but if one knew how to utilize bitcoin, then it could be used to reduce poverty. That's why bitcoin education overall crypto education is needed to be spread to everyone. From where I live there aren't many who knows of crypto or bitcoin. Only a few knows of it are using it. So first we have to change this.
It may have been possible for some people but definitely won't have the same results for everyone who will go into Bitcoin. Bitcoin can be a powerful tool for a person to have a better financial status, and it's also the same with other tools such as paper money, cc and etc. But it doesn't mean everyone can be lucky. So if one person was able to escape poverty thru Bitcoin, it doesn't mean everyone who'll get into Bitcoin will also have the same fate. So I don't think Bitcoin will have such great impact in reducing the poverty. There's such a big population of poverty all around the world, and probably only around 0.00001% of it can have the skills, knowledge, and opportunity to be successful financially with Bitcoin or crypto in general... Though I agree that having knowledge and background in Bitcoin gives you advantage to find more opportunities in becoming rich or achieving financial success.