Nope. They have been saying this since the time of Malthus (late 1700s)...
Well, let's get mathematic on this. The world surely can't support 149,999,999,999,999,999,999 people. That's just ridiculous. So there is absolutely a point where we will hit the ceiling on how many people this planet can withstand. I think the better question is what population can we reach that allows us to sustain our current lifestyle? Arguably, we are well beyond that in several aspects. Including our use of fossil fuel, that stuff is a finite resource and whether we have 50 yrs left of the stuff at current withdrawal rates, or 100 yrs is really a moot point. Something will give.