Oh, there probably is. All things being equal (and that’s the important factor) there is next-to-no chance of us ever reaching such a bizarre amount of people - you could triple the amount of people on earth, and, all things being equal, we still wouldn’t be “overpopulated.”
However, things are not equal - which means we are already existing way beyond that which our ecology can support. And it’s all thanks to capitalist parasites - a very small group of people sucking everything dry at the expense of everyone and everything else.