How to move Oracle database to another PC without restoring backup

You won't get there from here.

Either make sure that your version, edition and operating system are the same as the client. If so, you may get away with doing a restore from a physical copy of the data files (DBF) and control files.

If not, you are best off asking for a database export (either old-fashioned exp, or preferably a datapump export). That is a 'logical' copy of the tables/data etc and it is much easier to pull that into a different environment.

Basically, you will have to do the following:

1. Install Oracle (same version if possible or newer) on a new server.
2. Create the Windows services using oradim.exe (uses the sames SID than before)
3. Copy all the files from the old instance on the new server to the exact same locations (or recreate control files using "CREATE CONTROLFILE" and specify new locations)
4. Cross your fingers and start the new instance.
5. Backup your database and schedule recurring backups.

Some changes may occurs according to the configuration of the old instance (use of the archive log mode, ...)