can I set the second nameserver to a public dns cache?

[terry]

Hello,

I have only one nameserver for a domain.
Can I set the second nameserver for this domain to a public dns cache?
for example:


abc.com.  IN  NS  ns1.abc.com.
abc.com.  IN  NS  ns2.abc.com.

ns2.abc.com.  IN  A  8.8.8.8  # 8.8.8.8 is google's public dns server


Since DNS cache does a rec-resolver, so it will also answer with the
correct result?

Thanks.