No, this is false. Science is defined more clearly than this. Science is not a method, it is a set of rules for creating a method. Primary among those rules are a requirement for empirical evidence in support of scientific theories, and falsifiability -- meaning scientific ideas must be testable against reality, and those that fail the test must be discarded.
TL;DR: Science is more principle than method.
> ... one can approach economics or medicine or traveling salesman problem using the scientific method ...
By that reasoning, astrology is a science, because it can be studied using the scientific method. But this is not how science works. For X to become a science, scientific study must support the theories that define X. Explanation here:
http://arachnoid.com/psychology/index.html#The_Architecture_...
Economics is not a science.
Title: "10 reasons why economics is an art, not a science"
Link: http://articles.washingtonpost.com/2013-08-09/business/41217...