Well, yes, for some people, it can be permanent. As we know that eye bags can be hereditary from your family, so many people have eye bags when they are born. For this people, surgery can be the most effective way to solve the problem. By doing the surgery, they can get your eyes' skin thinner. And that will make your eyes look not like bags under your eyes. Besides, you should know that lack of sleep and stress, unbalanced diet habits can also lead to eye bags under your eyes. For this situation, you could try to put cool teabags on your eyes. They are good at reducing bags. For example, you can boil water and put the teabags in to infuse them, then you take them out and let them cool down for a while. And then put them on your eyes. Also, cucumber will be ok. Of course, good rest is very essential too.
No, the bags under the eyes are not permanent. If you don't get rid of it when you use the cream to adopt on the skin, you could accept the surgery of the beauty to get rid of the bags under the eyes. However, you'd better protect the eyes carefully after the surgery.