Yes, it is true. Although it is said that the aging problem will absolutely cause the winkles, the movement of pulling on the eyes will cause the winkles, too. Because the surrounding part of eyes is so weak, the pulling of eyes may cause the complexion around the eyes get wrinkled. Thus, you'd better pull your eyes.
In fact, it would not directly cause wrinkles, however, when you pull on your eyes you can cause the skin to be irritated, thus it may look red or swollen. If you persistently rub your eyes, your skin that around your eyes will thicken sort of like a callous. Because of when you squint the muscles around your eyes grow stronger. and it is a kind of a workout.
As you your question, I have to tell you, pulling on eyes, generally speaking will not cause wrinkles. Why? This is because wrinkles are basically generated from aging, and people will gradually develop wrinkles when they begin to show sign of aging. So, it seems that you at that old right?? So, there is no point in worry too much about it. But, I should warn you that pulling on the eyes is not good , which may give rise to your appearance. Anyway, nobody wants to give it a try.