Question: "If Adam and Eve hadn't sinned, introducing death into creation, wouldn't the world have gotten overpopulated?"
Answer: When God first created Adam and Eve, when they were still in the Garden of Eden, He charged them to be "fruitful and multiply, and fill the earth" (Genesis 1:28). When He cursed Eve in Genesis 3:16, He told her He would greatly multiply pain in childbirth. Both passages imply that it would have been possible for Adam and Eve to have children in Eden (although there is no indication they did). If death had not entered the world, and if all of Adam and Eve's descendants had followed God's admonishment, eventually, the world would have been filled. But would it have been overpopulated?
This is one of those questions that usually come from a deeply entrenched modern mindset. Fear of pollution and famine and unemployment permeates our world. Almost one third of our land mass is desert. It is very likely that, in our world, if fertility rates were untainted by sin, and if no one ever died, the world would indeed become overpopulated.
However, the question does not concern Adam and Eve in a fallen world but in a perfect, sinless world—a creation imbued both with eloquent natural law and God's miraculous power. Imagine an unfallen world with no desert, no wilderness, no unproductive land at all. Imagine a sinless creation producing many times more than our fallen world ever could. Imagine unfallen, sinless man wisely overseeing the earth’s resources and living in a charitable harmony with each other. Such a world would be completely foreign to us.
Ultimately, the question of the unfallen world being overpopulated leads to fanciful and surreal considerations. It’s akin to asking, “If Adam and Eve had not sinned, could their perfection have caused something bad to happen?” As we know, it’s sin that causes bad things to happen, not righteousness; given that overpopulation would be a bad thing, it would not have been caused by perfection. God is perfect and sovereign and all-powerful, and His creation was "very good" (Genesis 1:31). In His foreknowledge, God even factored in the fall of mankind, and His plan of redemption was already in place (Revelation 13:8). This fact alone makes the concept of a sinless, overpopulated world entirely academic.