Yes. But, you probably/usually won't get as many loadings from the nickel plated cases as they are a little more brittle than regular brass. Some guys use 'em 'till their used up; others don't use them at all. I have not used them. Most likely 'cause I didn't have any. Here, I'm referring to rifle cases.
Now, when it comes to straight wall pistol cases, such as .38 spl I have reloaded those many, many, times; but, I was shooting a really light target load.