No, the only proofs that exist are mathematical proofs. I like wikipedia's definition of a fact:
A fact (derived from the Latin factum, see below) is something that has really occurred or is actually the case. The usual test for a statement of fact is verifiability, that is whether it can be proven to correspond to experience. Standard reference works are often used to check facts. Scientific facts are verified by repeatable experiments.
Science is based on empirical evidence being gathered and explained using models, which are themselves based on scientific theories. A scientific theory is:
"a well-substantiated explanation of some aspect of the natural world, based on a body of facts that have been repeatedly confirmed through observation and experiment."[1][2] Scientists create scientific theories from hypotheses that have been corroborated through the scientific method, then gather evidence to test their accuracy. As with all forms of scientific knowledge, scientific theories are inductive in nature and do not make apodictic propositions; instead, they aim for predictive and explanatory force.
For example we explain gravity in classical physics as a force, where the magnitude of the force is based on a mathematical formula. This has been verified as being accurate to a very high degree, and only General Relativity is able to predict things more accurately, which is why it is now considered the modern theory of gravity. The fact that gravity acts at a distance, while surprising to many, is nothing special. ALL forces act through a distance. Nothing ever actually "touches" anything else the way you imagine it when you get down to the very small scale of atoms and molecules. Atoms and molecules themselves are not even solid objects. (In the normal everyday sense of "solid" that most people think of)
