No, not true. Many societies in the world have voluntarily reduced reproduction to the point where population growth would be zero, except for improvements in longevity.
These changes largely pre-date small recent drops in living standards, having taken place at the end of unprecedented runs of improvements in health and quality of life.
And how will you deal with the societies whose populations are booming in poverty and whom will desire to share your living standards? All the excess population from latin america, south east asia and africa will soon be displaced north by climate change
These changes largely pre-date small recent drops in living standards, having taken place at the end of unprecedented runs of improvements in health and quality of life.