Use o Squid ou o Apache no modo de proxy reverso
Sim, isso pode ser feito, você precisará configurar squid na sua caixa linux.
Caso contrário, você também pode fazer isso usando o apache no modo de proxy reverso:
Apache can be configured in both a forward and reverse proxy (also known as gateway) mode.
An ordinary forward proxy is an intermediate server that sits between the client and the origin server. In order to get content from the origin server, the client sends a request to the proxy naming the origin server as the target and the proxy then requests the content from the origin server and returns it to the client. The client must be specially configured to use the forward proxy to access other sites.