Shoes on a plane

So me and my boyfriend are going on vacation to visit friends. We are flying and it's only about 3 hours. We are going for 6 days. I don't know if anyone will want to do anything like go to a nice restaurant or whatever. My question is, would I be dumb for wearing these on the plane so it doesn't take up space in my bag? Because me and my boyfriend are just bringing carry ons. I don't want to look stupid for wearing heels. We are going to do things like hike and stuff too. I just don't want to get there and me look like prissy or whatever because of getting off a plane in 4 in heels.