If we do not change how we live and thrive on this planet then yes eventually over population will become a legitimate problem. If we could all learn to live on the land without excess though I think the world could sustain a whole lot more life than it already does. But the way we live today it will only be a matter of time before the world is over populated.
Not only will it become a problem, but It's already started being a problem. The economy is sinking, and adding more and more people into the world is not helping. More people are starving, because there aren't enough resources to feed them all. Soon enough, there won't even be room to move around.
I think that it will because the way that medicine has advanced, people are living longer and we have a larger population base. I think we will have to explore living in other areas of the world that are less inhabited. That causes problems with nature because we will be pushing plants and animals out.
African and Asian nations have skyrocketing populations of young people. Overpopulation causes hunger, poverty and civil strife. When too many people go hungry, wars and conflict spread. A starving populace is desperate and wants change. Without education, men and women will continue archaic ways of human breeding that are unsustainable unless a way is found to curb large families through education.
According to research done by the Food and Agriculture Organization in the United Nations , it is predicted that the world population will mount its apex at a little over 9 billion people in 2050. Then, it is estimated that it will hover around that number for several years and then steadily drop. It is also proven that we won't run out of food, due to too many people eating it. In fact, we happen to be producing more than 500 million pounds of meat every year, an number that is steadily increasing every month.