No, they mean different things. If you major in English, it can mean two things: (1) you are studying English literature, or (2) you are studying how to COMMUNICATE using the English language. If you major in English Linguistics, you are NOT studying how to read, write, or speak English; rather, it means you are studying the English language itself, which includes the analysis of its PHONETICS (sounds), PHONOLOGY (sound system), MORPHOLOGY (word structure), SYNTAX (sentence structure), and SEMANTICS (meaning of words and sentences).