Sure you can do it.
You just have to create a service for the destination machine on your client, use svrmgrl / svrmgr30 and connect as sysdba to the database (i.e connect sys/change_on_install@<service_name>) and shutdown the database.
in able to do a remote shutdown you have to create first a password file with ORPAWD utility, enable parameter REMOTE_PASSWORD_FILE=TRUE in initSID.ora, after doing this bounce the database grant sysdba or or sysoper to a user who you want to do the remote startup/shutdowns. Let's assume you grant one of those two privilege to user system.
This is server side.
In client side you do
connect system/manager@connect?string AS SYSDBA
once connected you can do remote startup shutdowns. You can only do this from SQL PLUS if client is from Oracle 8i.
Thanks, I understand perfectly. The REMOTE_PASSWORD_FILE=TRUE has been set the init.ora file. But I don't know wether a password file has been created or not. How do I find out if a password file has been created? If it has not being created, how do I use ORPAWD utility create it?