If you make the steps small enough, big things are very doable. And since the entire universe is 13.7 BILLION (not thousand or even million) years old, it won't be just us that popped up.
WHOOPS, your Bible thinks we're the only planet in existence. Oh wait, in fact it doesn't even know what a planet IS. In fact, since your Bible (or Quran or Torah/Talmud) was written by very earthbound fallible men, it doesn't even grasp that stars are BILLIONS OF OTHER SUNS, let alone know how to count that high, or that the GALAXY ITSELF exists, or that there are even OTHER GALAXIES.
Parts of the Bible commend humility, but that does seem lacking in actual practice.
So, what if the Bible was badly wrong and the Earth was NOT JUST 4400 years old, and your narrow civilization of less than 10,000 years was NOT the defining history of the universe, and the end of the entire universe (whose size you do not remotely grasp) was not just right around the corner every time some church authority invented a new interpretation for extremely vague and ambiguous texts?
That means your whole eschatology itself could be wrong. Better to keep it humble instead, Christians. You might find it much more useful.