https://html.spec.whatwg.org/multipage/tables.html#table-sorting-model is complicated and at least Gecko nor Blink seem to have support for it.
I don't see any relevant properties in http://trac.webkit.org/browser/trunk/Source/WebCore/html/HTMLTableElement.idl either.

There are existing script libraries doing the sorting and scripts can be always more flexible deciding which way to sort.