Is it possible to get all DNS records off a remote server?
Zone transfers are always available to slave nameservers. This will be at least all the listed nameservers except the master nameserver. Higher security configuration hide the master nameserver and may not allow public access to it.
dig axfr sld.tld. @nameserver
Once upon a time, zone transfers were frequently available to everyone. Today's best practices discourage allowing them to everyone. This helps limit information leakage. The "dig axfr" command above will get the data if it is available.