I think this is like asking if obesity can be cured. You can lose weight, but you have to work to keep it off. You can't "learn" calories out of the food you eat. So it's about developing the right kinds of habits and the right "muscles".
You can learn to manage anxiety, but it's not like treating an infection, where you take medication and things go "back to normal". It's a kind of pressure you have to learn how to resist. You have to resist your temptation to avoid anxiety-inducing situations just like you have to resist your temptation to eat dessert. But the temptation will always be there.
It's going to be a much bigger challenge for some people than others. Some people are constitutionally more sensitive, or they have more triggers, or they're under more stress, etc. So I think people should focus on improvement, not on a cure. Improvement is going to look different for everyone. I can sit in a coffee shop now, as long as I can hide behind a book, but I haven't gotten to the point where I can ride the bus. I'm a long way from being cured, but I can do more than I could a year ago.
For forty-seven years I've put up with it now. I must stop Christmas from coming ... but how?