You can't really shoot a "fire ball" per say. You can control fire, but you can't like, start it in your hands. There's nothing giving it fuel. You can put fires out, and start fires if you get REALLY good at it, but unless you'd like to hold a flaming paper ball, you can't.
Truly you contradict your self. You can't start a fire in your hands, but you can start a fire; according to you. If you can start a fire by being really good at it then would you not be able to do so in your hands? There's truly no difference. But you can't, so therefore you can't merely start a fire by getting really good at it. This would imply a sense of absolute control over the element; some thing you cannot have. And being able to put out a fire is highly debatable. What you can do in this matter is very limited and up for very minor skills. Such as affecting how a flame rises, falls, flickers, and brightens.
Shooting a fireball is advanced pyromancy and can be achieved with rapid molecule vibration, this is not impossible at all, just might take meditation and alot of practice.
Oh, sure it will take meditation, a lot of practice, and rapid molecular movement to throw a fireball. >_> Not really, no. That "pyrokinesis" is impossible. You cannot do that. Sure you can do it in astral and in your dreams. But not physically. You just simply have absolutely no control over the elements; aside from very minute actions, but that's if you can do these minute affects to the elements; particularly with fire.
I would say it all comes down to practical knowledge. I experiment, see what works, verify that it is repeatable, and document. No matter what anyone tells you, you are going to believe your own experience. We are here to learn and grow. I for one will find out what works and what doesn't. But you must use intelligence and foresight. And don't disregard what others say on this sight. They have been at it a long while and are knowledgeable. But do experiment and learn.
Vanitys, you may want to lay off on the aggression, no negativity is needed here :)
Kinesis in general will always be left to debate, believing in it or not is your choice, practicing it or not is your choice. Choosing to pursue it is not a waste of time. Anything that enables you to learn and grow is productive.
However, Don't expect to become an amazing element bender.
Research its history and how there are plenty of witches in this day and age that practice physically with the elements, especially Haitians or Sea Gypsies, and South African witchdoctors if you are truly curious.
What you have described , heating and increasing the speed of molecules ..you should know it is beyond that of any human.
But if you want to go to whether it can or cannot be done
Temperature is influenced by a variable of how fast the molecules of the object or surrounding area are .
Even If it was possible to vibrate the molecules to such a degree that they combust , molecules individually like that , such as creating a fireball out of thin air would need it to vibrate so rapidly and in turn increas in turn of temperature so greatly that it would have to be over several thousand degrees Celsius . This , it could not have been done , as the human body would have died long before that .
Also , if the molecules were to vibrate so rapidly as you would have described , it would have to be extremely compressed and contained , and a human would not be able to hold such it in and would essentially destroy the whole area
If you could not understand that , I would simplify it further into short checkpoints
-Tenperature is affected by molecules . For it to heat to that extent , molecules would have to vibrate rapidly and temperature would go so high that no one would survive
-if molecules go at that rate , surrounding area would be destroyed as for lack of containment .
Take note that I said IF it was possible to vibrate molecules like that . Vibratin molecules is beyond the means of a human too
Remember , vibrating molecues to such a degree is not possible either. I just added this varible so that you have a chance to even see how ridiculous you sound.
Thus , you have really no concreate evidence. If you wish to prove me otherwise , feel free to link other sources or perhaps link a video of you doing so.
Though i doubt you would beable to find anything that could support your statement at all , but feel free to counter me , if you wish to