If you assume the absence of a creator (I’m not suggesting it, just throwing it out there), then the chances of life forming have to be non-zero. We’re here, therefore life can exist.
Even if we’ve won the life lotto but the chances are minuscule, the universe is a darned big place. Tiny probabilities factored against the vastness of the universe give pretty significant numbers, at least to our frame of reference. Whether the timing and distance allow us to know of any life-form brethren is a separate question.
But bringing God back in, He gave us quite a bit of guidance, but there’s plenty He left out for us to figure out on our own. Given how difficult we know it would be to contact another civilization, and even now we haven’t made any progress finding one to contact, it wouldn’t seem like God would need to mention we were or weren’t unique in the universe. What difference would it have made either way? “Though thou aren’t alone, don’t bother looking for you thou won’t find anyone else anyway” doesn’t exactly help us live our daily lives.
The biblical argument against life elsewhere is that Christ died for all mankind. Did he die for mankind somewhere else too? Did he die ... over there too? Or did he choose Earth on a whim, but made it into those other people’s bibles?
That doesn’t make sense. You can’t claim the chances of life occurring on its own are non-zero until you CAN demonstrate it happening WITHOUT a creator. And no one has ever been able to do that.
No, you can’t demonstrate a creator, but we know more than enough to know life can’t happen on its own.
To claim otherwise is to indulge the “gambler’s fallacy.”
Actually, that is incorrect. The “probabilities” outstrip the number of theoretical atoms in the universe.