No, you can't get around it by copying the save data yourself from your PC to your phone. The reason the game doesn't support cross-platform sync isn't just because it doesn't know how to copy the files. (Obviously it does, or you wouldn't be able to sync on the same platform either.) It's because the different versions of the game have different data formats. So even if you did copy the save data, the game on Android wouldn't be able to understand it. It might ignore it completely, or it might crash trying to load it.
It was the developer's choice to do it this way. They obviously didn't think that spending time on making the different versions compatible was worthwhile.