Modern science has become so specialized and it requires so much time invested into it that ordinary people do not do it (and it would not be practical for the average Joe which is a unfortunate). Science and Engineering students on the other hand have to do it at least during their formation years (although not all institutions are at the same level).
The answer is yes, it is done, all the time, every year, around the world. In a more practical way every time that a plane takes off and lands is a testament that what we know about thermodinamics, friction, fluid dinamics, electricity, etc is accurate to an acceptable degree; every time that a transistor in your smart phone works proves that quantum tunneling is an accurate description of what happens at the subatomic level (to name a couple of examples). But the body of knowledge is so vast that no human being can test every theory out there and we have to defer to specialist even within the same fields.
A healthy dose of sckepticism about what we know is always good. Otherwise we would stagnate.
RE: The End Of Reason: A Glimpse Behind The Curve