Oh. then sure you can. There are 2 options for this - first you can manually create needed 'A' and 'MX' and other records for your name.domain.com, or you can simply create 1-2 NS records for your name.domain.com pointing to another server, and create needed DNS zone with all parameters there. Both ways will be working just fine.
to use subdomains, you will have to configure your BIND dns server,
which is located in /var/named/
if you are looking into website virtual hosting, its within your httpd.conf / vhosts configuration, anyhow the domain must resolve before you try to configure you apache named base virtual hosts.
kind'a techi issue if you dont know what i am talking about, you should consult with your provider, or find a friend/tech who can do that for you.