The Word was made flesh and dwelt among us, coupled with In the beginning was The Word and The Word was with God and was God ... and without Him was nothing made ... well coupling those two need not have a temporal limits added which is not stated by God about His methodology. With ALL of time, God could allow a random system to run until The Word to be made flesh and dwell among us became possible in the parameters of the random processes. It would still be God's doing, not randomness manifesting.
The same notion is found in the initial conditions of Creation of the Universe of our existence. Before inlation of space and time, below planck length space and time the command ‘Light Be’ cannot happen, so God allows His created dimensions to manifest sufficient that electromagnetic energy/radiation can be. The God uses His creation to bring all the rst into being following set physical laws for the interactions of waves, etc. regardless of how long it all takes.