You can use RMAN for your backup. RMAN will back up to the server in which you start the RMAN executable. Create a TNS alias pointing to your database on the other server. Once you have established your network connections, connect to the target database similar to the following:
rman> connect target sys/pswd@tns_alias
RMAN will back up over the network to the backup server in which you launched RMAN. You will have to install the Oracle RDBMS software on this server, but you are not required to create a database there.
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