No, it doesn't. And I didn't say that population growth is the same thing as economic growth. You guys are debating a straw man of your own creation. I said that population growth produces economic growth, the unsaid provision is that all other things are held equal. With population growth, you have more producers and more consumers. That doesn't say you have a great standard of living either.
Conversely, you can't have economic growth if your market (population) size is collapsing. Fewer producers and fewer consumers can only be offset so much by increased productivity.
If this were true, then most African nations would have the fastest growing economies in the world. They don't; their economies suck. They're sliding backward (in more ways than one). What produces economic growth is productivity increases not population increases.