For a VI with a front panel the answer as far as I know is no. If I guess correctly and the reason you don't want to clone it is that the VI does more than just provide a GUI(?) my suggestion would be to separate the GUI from whatever other operations you currently have in the VI and then just clone the GUI VI by having that VI as a VI template that you call by reference.
If you don't want to change the VI I would make a second one that is a pure GUI VI, use that one to present more details on the other monitor. It should just contain code to get the data it needs (use a functional global, que or other method to make the data available to the presenting VI).
