No, because the very minor reductions in birth rate in particular cases doesn't come anywhere close to solving the overall problem. We are much further past the carrying capacity of the planet than is admitted.

• For example, there is actually no problem with burning coal, if the global population is low enough. The pollution just fades into the noise of volcanoes, ocean CO2 buffer, etc.

• There is no problem with monoculture farming, if the global population is low enough. The reduction in wild land available to support species variation is absorbed into the noise of land lost to natural periodic floods or forest fires.

Unfortunately for us, you can't fool Mother Nature. Somebody, probably our children's generation, is in for it big time.