Deleting the saved file in Pokemon Scarlet and Pokemon Violet has never been that easy, as you will learn here. So you can play a new game from scratch. You will not find any option to delete the saved file in the game. You can only decide between manual save and auto-save.
Steps To Follow
Initially, you need to press home and close the game. Go to System Settings and find Data Management in the left panel, then go to the right panel, scroll down to the bottom, and tap on Delete Save Data. If, in any game, there is no option for deletion, you can delete it using this method.
Anyway, click Delete Save Data and then choose the Pokemon Violet to delete. You will be given a warning, confirm this message and you have got the file deleted. This procedure is easier to start a new game instead of creating so many profiles.