No, humans need to reorganize society before curbing anything

Overpopulation isn't the driver of damage, overconsumption is

So much damage could be eliminated by

• allowing people to not mow their lawns/keep animals on them
• abolishing all dress codes (less need for AC in the summer)
• mandating green roofs
• public transit
• eliminating bullshit jobs
• requiring ease of repair

and so many other things, which wouldn't even reduce people's quality of life, but improve it (so long as these resources are shared equally). After that happens, yes you can talk about limiting births to a 2.0 fertility rate, with some leeway (like you get fewer privileges if you have more kids) but in general this planet could easily handle twice or even thrice the amount of humans with no environmental damage if the population was managed properly. Which of course means you don't get your own personal carriage to take you to a Taylor Swift concert 50 miles away at the drop of a hat