OK, I'm breaking my statement with another post. Yes, balance can be improved. If mine hadn't improved, I wouldn't be doing what I am doing now. But it's still pretty awful compared to most people. In the course of my PT for other things, she did give me balance things to do, and I also did them with a trainer a few years go. I continue to do them at home. Yoga has helped, too.
This just brings up lots of bad childhood memories. I can't play any sport that requires eye hand coordination and I was always picked last for teams. Then, when I was 15, I flunked the physical fitness test which was basically balance and eye hand stuff, they put me in "flab lab." Nice name, huh? Especially since I weighed about 90 pounds. But, this is where I discovered that I was good at endurance activities because they had us run and do calisthenics instead of stupid basketball shots. Of course, I aced the running "test" which got me out of the class and then promptly flunked the skills test again, that had put me in remedial gym to begin with! My former gym teachers are rolling in their graves, because I doubt they could ever think I was an aerobics instructor and a ride leader.
I can put my shoes on standing up, but it's not easy...
PS. Thanks for the kind words, Lisa. I am pretty tough now, mostly because of cycling!