I don't think makeup can cause wrinkles at all. Repetitive facial movements, dehydration, poor nutrition, sun exposure, genetics and environmental causes have a much greater impact. However, makeup CAN contribute to clogged pores, irritation and other skin problems so it's important to choose the right kind of makeup.
It's also important to treat your eye area and neck well; the skin around your eyes doesn't have pores and doesn't create its own sebum; hence, wrinkles and crepey texture occur there much more quickly than others. One inexpensive way to treat these areas are with organic, cold pressed avocado oil. Apply a drop around the eye morning and evening, and a more generous amount on the neck. This won't prevent wrinkles or treat existing ones, but it'll prevent that crepey look.