Restoring a tablespace to a different database
Yes,

if you have all files placed in the same locations, you can create a pfile, make it point to the controlfile[s] and start the instance. If the backup was a clean cold backup, it should open without any problems. Don't forget to also enter the name parameters and the dump destination parameters for the database.

You should restore at least the system, undo and your_desired_tablespace_files in order to succeed. Create a new temporary tablespace.