Yes, put the queen in the new hive in the old location with a little food, a frame of capped brood, and a bunch of empties. Move the original, now queenless hive to another spot. Let them make the queen cells and then do your splits just before the cells are due to emerge. About to perform this proceedure on several of mine today because grafting has not been working out so well. In my case, our dearth has started so the new hive will be getting a feeder to stimulate comb production. The nucs will get fed once they are made.
Thankfully, the bees are smarter than I am. They are doing well, in spite of my efforts to help them.