Yes - In the clients modify /etc/resolv.conf to have both the server name to query AND the domains to search:
That tells it to append example.com to any "short name" searched for and check on the first nameserver (ip) specified and if not found there on the second name server (ip) specified.
You could add other domains to the search line separated by space:
search example.com mydom.com
It would first search short name in example.com and if found provide that - if not it would then search for it in mydom.com.