That is Malthusian thinking, and many hold it. While certainly the corporations talk about “feeding the world”, it isn’t what those not tied to corporate interests say (or at least not after reading more on the subject).
So far all of the evidence pointing to the lowering of the birth rate involves education, healthcare, and rising out of poverty. GMOs being used in Banglasesh, provided free of charge and actually hurting the pesticide industry there, is allowing farmers to send their children to better schools. Educating women always reduces the birth rate.
In 2013, Bangladesh commercialized Bt Eggplant, also known as Bt Brinjal, a genetically modified eggplant that is…allianceforscience.cornell.edu
In the 1960s the US considered cutting off food aid to India for just those reasons you gave. Agricultural innovations, like a new wheat strain created by Norman Borlaug, saved that country from the predicted population bomb.