I live in the US and shabbos didn’t start yet but in Israel it is the zman of shabbos. Is there a problem ordering something from a website in israel that is shabbos there but not here? Also, if they already might prepare the order? is it considered a business transaction on shabbos. I guess I am asking because time difference between here and Israel.

If you think that someone here in Israel will be doing work, then you can not do it, but if it is something automated it is not a problem.