Sure could but why waste the Whiskey? I suspect you will also boil off most of the flavor profile you are looking for. A better option in my opinion would be to pour the whiskey over some ice, sip it slowly and add toasted oak chips to your Mead in secondary.
If you do decide to boil some whiskey i would be interested to hear if you had any luck with getting the flavor you were looking for. Oh and for safety sake be sure to have a fire extinguisher handy and stand back. Flambe comes to mind and is used a lot in cooking but can get pretty exciting 'if you are not careful. It does impart some great but very subtle flavors.