If so, the answer is something like, shouldn't be able to, but instead of just saying no, I'll say that it is a technical challenge and not something I could tell you "how to do".
Edit: You CAN sync music and movies to an Andriod device, but using iTunes is a no go.
I know I can't sync with iTunes but there should be a way to get those onto my tablet some how. I can handle something more complicated than the drag and drop of iTunes if I know what I need to do,
Manually move the files from other system onto your tablet via USB external storage, or across a network or setup a media server on said other system and stream content.