In other words: do not look for a technical solution for a social problem.
Too true. Technology is not 100% of the solution to the problem. It can be used for good, evil, or anything in between.
That being said: modern technology has allowed us to dramatically increase life expectancy and quality through modern medicine. We have transitioned from a civilization where the vast majority of people have to be involved in agriculture or other basic survival tasks in order for the society to survive, to a civilization where a negligible fraction of people are involved in those tasks. I think that that progress certainly qualifies a technical solution to some of humanity's biggest (former) problems.
Imagine a world where a single moderately wealthy person's means can feed and house millions in comfort. Imagine a world where food and shelter are as cheap as fresh air. Even barring some kind of dramatic "technological acceleration," we might be closer to that goal than most of us imagine. Could this lead to dystopia? Certainly. It might also lead to paradise on Earth: It depends on us and what we do with the power that those technologies gives us.
A lot of social problems in Africa, Eastern Europe, and Asia are caused by poverty. Like you said
Technically we are able to give everybody enough food. Technically we are able to distribute wealth better. Technically we are able not to kill each other.
That does not mean that we do that.
Just because we are technically able to does not mean that it would be easy. Even in the US, one can scarcely support oneself, much less a family, while working hard on minimum wage. If, through technological advances, we reduce the cost of the basic necessities even more, that change will filter out to the less privileged parts of the world. If food and shelter are free (or almost free), it will be much more difficult for warlords to keep food from the starving. It will be much more difficult for groups like ISIS to gain traction surrounded by a healthy comfortable populace that has basic luxuries and does not fear starvation.
We need more than just technology to make the world a better place, but don't underestimate the amazing potential for extreme social change (whether positive or negative is up to us) that is inherent in certain advances!