Not at all. Put your handlebars where you are comfortable.

Too often guys will put their handlebars as low as possible to look cool and be more aero. However, if you're not very flexible, doing that reduces the amount of power you are able to generate, negating any aero benefit and ultimately making them slower.

And as others have already said, bars too low can lead to low back pain, hip pain, shoulder pain... which makes it not worth it.