My answer is no, they can’t.
According to the Bible, humans are the end goal of creation. They are distinct from animals and created in god’s image; they are given dominion over the animal world. This implies that humans are superior to animals in some absolute sense. The suffering we see in the world today is because creation is broken which is itself the result of human rebellion against god - thus implying that there was a time in history where there wasn’t such suffering.
In contrast, evolution has no end goals and humans are just an intermediate species between our ape-like ancestors and the species that we will eventually evolve into in future. It may seem like humans are distinct from animals, but this only because our evolutionary ancestor species are extinct. If all these species were still alive, the distinction between human and animal would be much less clear. Suffering is the result of human nature which in turn is the result of millions of years of evolution. There was no time our history when humans were free from suffering.