The short and only answer is no, bitcoin will not help to solve world poverty problem. Why? Because economical systems, regulations and laws are not the problem here. Humans are. People are so corrupt and flawed that they do not care about making this world a better place, they just care about themselves. That is why we will never have world without poverty, wars and terrorism. Bitcoin is nice tool but it is people who will be using it. That is the problem.
I side on the positive and would say yes. I say yes, but with the qualification of time. We can't expect that cryptocurrency is some sort of a magical potion that once you apply it to something that it would end up whatever is ailing it. It's the same as this topic, world poverty has been so entrenched in the people of the world that it can be hard to combat and stop it. You would need time and the honest cooperation of those people in power to do some good changes for the people who needs it.