Criticizing economics is entirely valid. Pissing on it is not.
Science as a process of study can be effectively applied to phenomena that are not as easy to rigorously measure as physics and chemistry.
I don't really understand where this view comes from. Is it a lack of exposure? There is a rich world of academic study in economics that is deeply complex, mathematical and even empirical, insofar as you can reasonably achieve in a domain that studies human behavior. There's more to it than the Pareto principle and "A Market for Lemons."
Studying the individual or aggregate behavior of human beings is inherently more difficult than inanimate objects. That doesn't mean you can't be rigorous with it.
But hey, let's play a game: You tell me what's a necessary condition for something being a science and I'll tell you an instance where that condition as broken or a "non-science" that fulfills that condition.
Go!