Separate DNS for subdomain

[Dan L]

Hello

I'm trying to assign a separate dns for a subdomain... for example my
standard bind configuration points the domain the the appropriate name
servers.

   domain.com.    14400  IN    NS   ns1.domain.com.
   domain.com.    14400  IN    NS   ns2.domain.com.

i would like to point a subdomain's request to a separate address

   subdomain.domain.com.   14400  IN  NS  ns1.other.com
   subdomain.domain.com.   14400  IN  NS  ns2.other.com

This way if a request comes in for 

   test.subdomain.domain.com  

it will query other.com's domain servers for the address.  Is this
possible with just these configurations?

Thanks