No. Coppock designed it very specifically for monthly data on the Dow Jones Industrial Average. There are three comments I would make about the proposition to use it on weekly charts:
1. I have never seen any research done on using it in shorter time periods. I would not use it unless I had researched it myself or seen good research work on it. If you come across any research on using it on weekly charts, please let me know.
2. My feeling is that there are better more flexible and robust tools for a weekly timeframe. The Coppock was never conceived for investors with a shorter timeframe.
3. Using the Coppock on weekly data DOES NOT simply give earlier signals. It is giving signals in a shorter time frame.