Change Oracle user home directory at OS level after Oracle Databse/Client Software Installation Can we change oracle user's home directory at OS level after Oracle Database/Client Software-Only installation? 


No database has been created yet. 
We want to change the home directory to /Oracle/profile/oracle from /home/oracle.
As per your comment:


  Yes, I meant the home directory of oracle user at OS level!


You can easily achieve that.

We have a user called ora

[root@myserver /]# su - ora
[ora@myserver ~]$ pwd
/home/ora


And it has its home directory as /home/ora.
Let's create another home directory for the user ora.

[root@myserver ora]# mkdir -p /home/profile


Let's move the files such as .bash_profile and directories like Desktop and Documents, from the old home directory to new one. 

[root@myserver ora]# cp -a /home/ora /home/profile/


Finally, modify the user to change the home directory. Make sure that there are no active sessions exist for the user.

[root@myserver ora]# usermod -d /home/profile/ora/ ora


Let's check the result.

[root@myserver ora]# su - ora
[ora@myserver ~]$ pwd
/home/profile/ora/