That's what Clinton was counting on in his speech. It is true, of course, that in a free society, someone needing assistance can't compel others to come to his rescue. So, Clinton was also implying that even if the size of government is reduced, he guarantees that forced assistance will be preserved. Too bad he didn't put it in those terms. As Bastiat said, the state is that fiction by which everyone lives at everyone else's expense.
Euphemism conceals much.
Despite what Clinton may wish to imply, it was capitalism that systematically reduced the need for charitable assistance. Capitalism didn't invent poverty, Ayn Rand once said. It depends on your definition. If poverty is defined in absolute terms, then capitalism banished poverty. The cost of food for two hundred years has been a shrinking percentage of household budgets.