Is it normal to not use shampoo?
Depends.It depends
Yes, plenty of people skip shampoo, either all the time or between washes. Whether it works for you depends on your hair, scalp, and how much oil or product buildup you get.
Skipping shampoo is a normal grooming choice. Some people rinse with water, use conditioner instead, or wash their hair only occasionally; others find their scalp feels oily or itchy without shampoo. There isn’t one schedule that works for everyone.
If your hair and scalp feel comfortable, you don’t have to shampoo just because it’s what most people do. If you notice persistent itching, irritation, or buildup, you may want to try shampooing now and then or ask a health professional if it doesn’t settle.