How much magic can children do before they go to school? – Starting Harry Potter https://www.startingharrypotter.com/explore/questions/how-much-magic-can-children-do-before-they-go-to-school
To get into Hogwarts you must have the ability to produce magic. Obviously, children don’t use a wand until they attend school – so young witches and wizards demonstrate they are magical by doing something accidentally, often when scared or angry.
go to wizarding school, they do have magic – which seems to be driven by their emotions