I really don't believe so. In 2008, I cut all my hair to one length... twice. It didn't matter. As of now, there are different parts of my hair that are different lengths, which actually makes sense. Each of your hairs is doing something different at any given time.
Some of your hairs have finished their cycle and are shedding; Some of them are at the beginning, middle or end of their phase so it's really impossible for all of the hair on your head to grow at the same time, and at the same length to maintain the appearance of even ends.