Of course it's possible. If it were otherwise, you wouldn't exist. Where did you get the idea that your existence is impossible?
Because it is.
At least in the sense that people use the word "possible".
If I told you that I was going to win the lottery everyday for the rest of my life all by having a random computer randomly guess the numbers -- would you say that was possible?
Technically, it would be possible, the mathmatical odds would be an insanely large number. But in all reality it's not possible.
I think too many people take their existence for granted. They don't question it, they just accept I'm alive, so what.
The point is; for me, or you to have a singular point of focus herenow is a miracle, it is winning the lottery everyday odds, it should have not happened. Yet here we are.