no, too much alcohol. you're getting fumesCan bacteria grow in nail polish?
That first answer is pretty cool from a microbiologist's perspective, but as far as you're concerned, no, they can't. Nail polish is actually pretty toxic. (If they did grow, that would be so creepy, but trust me, they can't. Bacteria die in alcohol too!)
I've not seen any published reports about bacteria in nail polish. However, Japanese scientists have found a new species of bacteria capable of growth in hair spray! So it might be possible.