Don't understand why she can't take a snack, that seems to be normal in any state school. I don't bother half the time but will let her take a biscuit or two if she asks. I don't think the fruit is about stopping them being hugry it seems to be a lot more to do with the whole 5 a day thing and promoting healthy eating.
But DD has breakfast at about 8:15 lunch is at 12:30 so not that long to go.