I dont know if this is true, but they are giving everyone this expression: We just take the best of the bests.
At the end of the day though, we make our own opportunities. I've spoken to a few product managers at Google. Being a PM at Google, Apple, etc. would be a dream job of mine. I'm not quite prepared for such a role, but I will be one day.
I'll basically get a run down of the things they've accomplished up until they got that job. From there I'll seek out similar opportunities and turn down others that don't align with what they did. It takes a LONG time but, it's worth going for.
And, if it doesn't work out, at least I come away with a list of great experiences and interesting projects. Most of these things are outside of work mind you, as my work is not closely aligned with product management.
There's so many opportunities to learn and "prepare" for these types of roles. You just have to know where to look, and who to ask. :)
If you would like to work over there then you should apply and the worse thing that might happen is not hearing back from them.
At least, if you do that, you would have a chance and more importantly, a good experience from which you could learn a lot.