To answer it simply, Yes. Coloring can and does help reduce the day to day stress levels that the average person deals with.
When you color, your mind is so targeted on the subject you are coloring, it takes you back to your childhood where there was less stress.
You then start to forget all the little 2nd guesses or concerns you may have had throughout the day,
or worrying about what might happen if where you work start laying off. It’s not that all these things are not important, they will be there when you are done coloring.
But it is nice to take a break from the “realities” of life.
Now for the science side of the question. The answer is also Yes.
When we color, we are actually using both sides of our brain.
We use part of our brain that involves using logic, by which we color forms, and creativity, when mixing and matching colors.
Then we focus on staying inside the lines with every stroke of our crayon or marker. This incorporates the areas of the cerebral cortex involved in vision and fine motor skills.
The relaxation that it provides lowers the activity of another part of our brain that is involved in controlling emotion that is affected by stress.