Infinite combinations of matter over an indefinite period of time can explain everything that exists. Shall we call this "science?"
Believe it or not, there are scientific theories based on essentially that idea. Provided an infinite universe, there will be a region of space with the exact same arrangements of matter and energy as we have here. There is a statistical probability for this. A very low probability, but a finite one. But given an infinite universe, that makes that low probability a certainty. That means there are multiple Fester Chugabrew's and doc30's out there.
Basicly yes, but some clarification is needed here. There are not an infinite number of combinations as the structure of the amino acids will only allow so many combinations. Have this finite number of combinations attempt to happen milions and millions and millions all of times all over the earth where the primordal soup existed and bingo, you start having protein molecules. That's called science.
And, the process very obviously is not happening for an "infinite" amount of time because the primordal soup from which we came ceased to exist in that form millions of years ago.
Where did you get in my post that this suggests an explanation for "everything that exists"? That is not science.