World over-population certainly is an issue. Of course, again, this is an rea of great exaggeration- many was the spokesperson in earlier decades who said the world would be unihabitable by the 21st century, let alone the 22nd.
In many areas, Humanity's abaility to adapt technologically has confounded earlier predictions; abaility to hande large populations has increased. likewise, the life expectancy of fossil fuels has been increased by more efficent methods.
But logically speaking, at some point, there must be a time when population really DOES get too much to handle, and if we are not out into the stars by then there could be trouble.
But I think it will take a long time- most likely more than 200 years- until that crisis point is reached.