My D was accepted to engineering school with a full tuition academic scholarship with no engineering EC’s. Just a couple years of math club (her sister made her join), four years of music and three years of visual art. She decided just before senior year to pursue engineering. It was a little late to go find new EC’s. She did have strong coursework in all areas, including AP calc BC and AP Physics.
Yes she graduated with an engineering degree (actually two, BS and ME in four years), at the tippy top of her class no less. Any engineering school not accepting kids with primarily arts EC’s is missing out, but there may be some that do miss out. The arts develop collaboration, communication, spatial skills—plenty of carryover.