You can bring it, but we just went down to the laundry room and used the iron and ironing board. HOWEVER, apparently the iron had been dropped a few times, so it leaked. This would ruin some silks and satin and several other evening fabrics.
I packed my formal gowns in a garment bag. Each dress was on a hanger, with a plastic dry cleaning bag over it. I took one pant hanger and looped the bottom of the dresses through it so they would fit in the garment bag. After 11 hours in the garment bag, which was at the bottom of the pile on the luggage dolly, my dresses were not wrinkled.
If you are going to walk on thin ice, you may as well dance!