No.
Because some adults should never be given free reign with a weapon to use whenever they want on someone half their size.
A great many could not be trusted not to abuse it.
Besides, it really doesn't work...if the penalty of death does not deter criminals in america, then I don't see a whack on the hand deterring kids from misbehaving - never did in my school.
It makes kids feel mistreated, hurt, powerless, angry, ashamed, worthless, vulnerable etc etc - especially if they are being blamed for something they didn't do, or at the mercy of a particularly sadistic teacher - and it is these feelings that in turn make them behave badly in the first place.
I was once pushed and shoved quite forcefully by a teacher for something I didn't do and it was all I could do not to punch her - afterwards, I wished I had done and I vowed that if she ever did it again, that is exactly what I would do - she was an evil horror - you know the sort - but far from feeling any sort of fear, i felt angry and wanted to hurt her...
sounds daft now, but at the time my hatred for this woman was very strong