Noetic Science is basically the study of how brainwaves can affect the environment. When brainpower > white noise/other forces, brainpower can make changes to the world around it. This is why experimentation must be done in an electromagnetically shielded lab where the scientist's brainwaves are the most influential force, beside gravity.
If an incredible mass of people collectively and undistractedly focused on attempting to change the weather (like, during a worldwide power outage or something), it may actually happen.
Humans are capable of manipulating the weather. This is a fact. This is most commonly, and just about exclusively, seen in cloud seeding, of which there are three kinds. (Read more at: http://science.howstuffworks.com/nature/climate-weather/meteorologists/cloud-seeding1.htm)
It's even a military tactic, though not a legal one, as it has been outlawed by the Geneva Conventions. America used it to some degree of effectiveness in Operation Popeye. (http://www.Opsecnews.Com/operation-popeye-weaponized-weather-during-vietnam-war/)
TL;DR, Humans can control the weather, but only to a certain degree, at least directly. If your question is pertaining to Climate Change, I suggest re-wording it, so that is made clearer.
By the stars and knowledge, I shall seek only the truth.
Humans are small. The world is big. We only wish that we could control the weather. On this earth, humans are tiny little things compared to the vast atmosphere that stretches for miles above the earth. There is nothing that we are doing that could control the world's weather. Humans have big egos and they would like to think they control the universe, but they need to realize how small they are.
Humans are not capable of controlling the weather with current technology. However, humans are capable of influencing weather change. Global warming, for example- caused, in part, by humans, is changing weather patterns across the globe. Also, winters are getting colder and summers are getting hotter due to human-caused ozone depletion.
In my opinion, having the ability to control something is much different from having the ability to influence something. Yes, we can do many things to influence our weather but control is not in our hands. If it were, we would not have nearly as many weather-related casualties and deaths.
Humans are not able to directly control the weather through their will or their actions. Mankind can impact weather patterns by its continued reliance on fossil fuels and resulting global warming. And mankind has a choice on whether its continues to accelerate global warming or to reduce its reliance on fossil fuels. But no, we do not control the weather.