that's a pretty loaded question and can be difficult to answer.
is the scientific method falsifiable as in being able to prove that the entire concept is bogus? no. the scientific method can be used explicitly to prove that something is wrong, but when applied to itself, it doesn't disprove the whole kit-and-kaboodle. the scientific method can be used to identify flaws in the methods used to gather data and analyze it, but the overall premise of the scientific method remains sound.
if it where possible to disprove the scientific method then it would have happened by now. it's been under development and revision for hundreds of years in its more modern form, and for thousands of years before that.
at some point in the future we may discover a property of the universe that will revolutionize our scientific understanding, but this wouldn't serve to disprove the scientific method either. we'd just have to adapt our methodology and change our preconceptions.