It is more nerve wracking to transport a cake fully stacked and decorated, buy possible. The key is to be sure it is level and well supported. I also always use a central dowel through the whole cake and anchored into the cake base (I use plywood). Just as an extra measure, especially if it is hot, I like to use a portable cooler box. Here is the video by Yener’s Way that shows you how.
Of late, I have been transporting my cakes as individual tiers and stacking at the venue and applying the flowers once the cake has been stacked. Five yourself plenty of time and it is much less stressful. If you choose to go that route, no central dowel is needed, but the cakes still need to be level and doweled properly.
The best of luck to you!
Sugar Sugar by SSmiley