Hi Peg,
There's every chance that it will re-shoot from the roots or a piece of stem that may be left. If it is in the ground, I would be inclined to put it in a pot, trim back some of the root growth, and keep the medium just moist. Place the pot some where sheltered, perhaps with glass cover or plastic bag over the plant, which will help re-growth. Then keep your fingers crossed!
It's just happened to one of my plants and the new leaves started to show in about a week
Good luck, IanS