I do it all the time. Really depends on how much I'm carrying, yada-yada. I've had some pannier / rack combos where the front ones needed a bit of an extension on the hook on the bungie cord to make it easier to attach (Not have to super stretch the bungie that way). Panniers don't generally know Front/rear, especially on a 'bent, since heel strike isn't an issue in any way shape or form.
Hope this helps,
M58