It depends on how you define normal. As far as the cosmetics industry is concerned, every woman can and should have normal skin. Yet acquiring normal skin is like trying to scale a peak with a slippery, precarious slope. At some point you are going to take a wrong step. And if you have normal skin, at some point it isn’t going to be normal any more. Like the rest of our bodies, skin is in a constant state of change. Even women with seemingly perfect complexions go through phases of having oily, dry, or blemish-prone skin—and then there are all the issues related to sun damage or merely growing older. In reality, no one is likely to have normal skin for very long, no matter what she does. Chasing after normal skin can set you on an endless skin-care buying spree, running around in circles trying everything and finding nothing that works for very long or that makes matters worse.
In any case, identifying skin type is highly subjective. Many women have really wonderful skin but refuse to accept it. The smallest blemish or wrinkle or the slightest amount of dry skin distresses them. Or some women see a line or two around their eyes and immediately buy the most expensive anti-wrinkle creams they can find in the hope of warding off their worst imagined nightmare. This is one of those times where being realistic is the most important part of your skin-care routine.