No. I'm saying that the population will increase no matter what we do - even if we use the china syndrome of limiting offspring to whoever wins lotto
If population control is off the table, then humanity is doomed. We are never, ever getting out of this solar system, and there simply aren't all that many new places around the sun that can support human life in a self-sustaining way.
Once humanity fills up this planet, if there is no decrease in population growth, the remaining possibilities for humans will get filled in very short order. Mars and the moon are awful tiny. My guess is that humans won't get any further away from earth than Mars.
Further, humans don't seem to tolerate each other very well when it comes to sharing scarce resources. I don't believe any amount of education will change that. So if the population does keep growing, famine and war are also inevitable.
But I don't believe continually population growth is even possible. We are going to continue screw up our ecological system, encounter new diseases, and fight wars, use up rare materials on which civilization depends, so that if we don't control it ourselves, population will come down. If we are lucky, what's left of earth will be able to sustain intelligent life and we won't enter a 1000 year dark age.