Unknown Japanese saying: 世に孵ることを拒む卵はなく、　芽吹くことを拒む種子もあり得ない


I'm having some issues translating the first part (bolded) of this
metaphor/saying(?) into English.

> **世に孵ることを拒む卵はなく** 、 芽吹くことを拒む種子もあり得ない.

How does the verb 孵る work on the こと part of the sentence, and does the full
sentence end in the adjectival phrase "あり得ない" or does it end with a nai-form
"得"?

The two possible translations I have at the moment are:

> In life to hatch out is a circumstance that to prevent the infant’s cries,
> is impossible as the seed denys its circumstances to bud.

and

> In society to hatch out is an occurrence that to prevent the infant’s cries,
> is as impossible as the seed rejecting its circumstances to bud.




Let me break it down to smaller chunks...

世に孵ることを拒む refuse to hatch into this world (← relative clause that modifies 卵)  
卵 egg  
は (topic particle)  
なく don't exist (← continuative form of ない(無い))  
芽吹くことを拒む refuse to germinate (← relative clause that modifies 種子)  
種子 seed  
も either  
あり得ない can not exist

To put them back together, I think it means something like...

> 世に孵ることを拒む卵はなく、芽吹くことを拒む種子もあり得ない。

"There are no eggs that refuse to hatch into this world, and there cannot be
seeds that refuse to sprout out, either."




Let me break it down to smaller chunks...

世に孵ることを拒む refuse to hatch into this world (← relative clause that modifies 卵)  
卵 egg  
は (topic particle)  
なく don't exist (← continuative form of ない(無い))  
芽吹くことを拒む refuse to germinate (← relative clause that modifies 種子)  
種子 seed  
も either  
あり得ない can not exist

To put them back together, I think it means something like...

> 世に孵ることを拒む卵はなく、芽吹くことを拒む種子もあり得ない。

"There are no eggs that refuse to hatch into this world, and there cannot be
seeds that refuse to sprout out, either."

