When you delete a psp game can you get it back for free?

If you delete a PSP game that you purchased digitally from the PlayStation Store, you can redownload it for free as long as it's still available in your purchase history. Simply go to the "Account Management" section on your PSP or PlayStation device, find your downloads, and reinstall the game. However, if the game was obtained through other means, like a physical copy or a non-official source, you may not be able to recover it for free.