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It depends on what you mean. It's normal to have periods of time where you don't feel real (we just talked about this in my abnormal psych class). Apparently most people go through times when they feel slightly out of touch, as though they aren't really there, or they are just existing in their body, etc. I think it is called depersonalization. If it interferes with your life or seems to be a continuous problem then you might consider talking to a psychologist. To answer your question though; it is normal to a degree.