I don't think it would be and this is why. Science is a field that needs to have a theory and research and experimentation to prove that theory. Linguistics is a study, a study of languages. So if you can form a theory with the study of languages and then show proof , I guess it COULD be a science. But I wouldn't call it that.
Linguistics is a science. This is because it involves thorough research of the origins on the human languages. This means that scientists behind the linguistic field should research about the meaning of every language.