The answer is simple, no. We are not supposed to interpret this in a way to think that the relationship between human beings and nature is always peaceful.
We as humans degrade nature by destroying the atmosphere and putting it in such a way that it has to suffer. Effects of this include global warming which causes nature to fight back in forms of floods, tornados, earthquakes, and many other natural phenomena.
Desdemona doesn't wantto admitto Othello that shelost the handkerchief because it has a lot of sentimental value and she feels horrible that she lost it.