Yeah, totally! I didn’t pay any attention in German class in elementary school at all, so I’m totally unable to recite any rules (and I’m not even sure whether we were ever taught that explicitly), but that ordering totally exists and the incorrect sentence you just made up is actually completely incorrect. It’s not just a stylistic blunder (but people would still understand what you are trying to say).

I also remember being explicitly taught about some similar (but different) ordering in English, though I have mostly forgotten about it. I think time is always supposed to come last or something?

So “we are going to go to the airport with the bus tomorrow” would be correct (placing tomorrow at the beginning of the sentence would be, too, and would be the variant I would personally prefer), while “we are going to go to the airport tomorrow with the bus”, while still correct, would not be something you’d want to write.

Or maybe I’m misremembering, because that second sentence seems correct to me, just placing more of an emphasis on the means of transportation than the first one (i.e. you would use that one when someone already knows about your plans, but asked you how you will get to the airport). I don’t know. This is all a haze. I remember something about time and putting it last.