Is it possible to move from a early stage startup to FAANG companies?

Hi,

I'm a PM and I've recently left my job at a unicorn to take up a higher position at an early stage venture. I'm only the second PM hire of the company which means a LOT of 0 to 1 building.

The work is pretty solid and my level of learning is far, far beyond what I was doing at my unicorn stint. I have a lot more autonomy here and my manager is great.

But lately, I've been feeling that this move would probably close my doors for FAANG or even companies like Flipkart and Zomato - because they'd probably pick someone from a unicorn company over me.

Is my apprehension correct? I'm only 3 years into my career if that helps.

Thanks