I sure wouldn't and never have. I take my frames of brood for the nuc and shake another brood frame of bees into the split and add the queen and leave them in the yard. I want the old bees who tend to be hard on a new queen to go home to the old hive leaving young receptive bees to release and love the new queen. Make sure you don't get the queen when selecting those brood frames. A good fast way to do that is to brush or gently shake the bees off the frames for the split and put them in a different box. Put a queen excluder over your top brood box of your original colony and set the beeless brood combs on top. Leave for a half a day or overnight and the frames will be coverered with nurse bees and be guaranteed queenless. Set that box on a new bottom and add your caged queen. Check in three days to see if she has been released. If bees are all attending and not attacking the cage just release her and stay out for a couple weeks as bees can ball a newly released queen when disturbed. I have seen it happen. Good luck.