I think it might, not right now but maybe one day when it is fully accepted worldwide and we don't have to pay huge fees to banks and other financial institutions to keep/transfer our money from one place to the another.
Not saying it will magically solve world poverty but some people when they pay less for maintaining their funds, they might spend a little more on charities.
Stopping Bitcoin's poverty is hard because Bitcoin is not well-known yet, and many governments have banned Bitcoin, saying Bitcoin is not strong enough to let people know about it. There are many places where Bitcoin is popular and there are places where Bitcoin is accepted for payment