What is "uncertainty"? Is it a feeling that your conclusion may be incorrect? If so, then yes, it is possible to completely eliminate uncertainty. However, feeling one hundred percent certain is no guarantee of being correct.
Personally, the only thing about which I am completely certain, is my own conscious thoughts; I know what I'm consciously thinking about. I know, with one hundred percent certainty, that I prefer the taste of dark chocolate to the taste of brussell sprouts. On subjects other than my own mind, I'm less certain.
I'm a solopsist. I think people often think that means I don't believe anything is real except my own mind. That's a misunderstanding of what a solopsist really is. Solopsism means that the content of my thoughts is the only thing about which I am one hundred percent certain. I don't think my mind is the only thing that exists. I don't think I'm a disembodied brain in a vat. I'm very very certain that both of those assumptions are correct; I'm just not completely certain because I can see how those things could be possible. Those are extreme examples; I use them only to illustrate my meaning. I could make a long list of things that I believe, and try to estimate my degree of certainty in each one, ranging from virtually positive to real sketchy.
I think people that feel one hundred percent certain about things other than their own minds are fooling themselves.