No you can't. But then a PC without a working Operating System is a worthless piece of junk.
A neat way to prepare any PC for sale or giveaway, is:
Go into the users app in the Control Panel, and create a new user and give it a generic name with Administrator Privileged.
Then reboot the PC, and log in as the new user (don't use a password. The new owner can add a password if they want to)
Then once you're logged in as the new user, go back into the Users app in the Control panel, and delete the OLD User.
That not only deletes the user but all of that user's data files/folders/etc.
I've done that a few (dozen) times myself, and it works a treat and you don't loose the OS, Drivers, setups, etc.
Now you'll have a PC that's actually refreshed and worth something.
If someone gives me an old PC, that's the first thing I do, to preserve the OS, Drivers, etc.
Then I can tweak it, and tune it, to my own specifications.
Good Luck,
TM