It might & shouldn't cause a problem if it doesn't work.
If you just want to run classic mode, copy the System Folder from another Mac that has OS 9.1 (or better with 9.2.1 or 9.2.2) installed. A USB thumb dive works great for this. Transfer the folder to your Mac. It won't interfere with your OS X system which is in a folder titled System. (You can't copy OS 9.x from the install disc.)