Though it does not make the situation easier, population is not the elephant in the room when it comes to CO2 emissions: we might afford 10 billion with low lifestyles, but the habits of the less than 1 billion Western inhabitants on the planet already make the situation unmanageable. This is the elephant in the room.
10% of the population drives 50% of the impact (and things get worst as you concentrate on the richest percentiles).
See https://www.oxfam.org/en/research/extreme-carbon-inequality for detailed analysis.
So to answer your question directly: there is always a chance, but the people that most urgently need to change their habits are not necessarily the ones making more children...