Yes and no. Cutting off hair doesn't magically make hair grow back faster or speed up hair growth. Cutting the ends of hair prevents breakage making it easier to retain hair length since the ends are healthy and won't snap off.
Well... Since you are getting rid of all the split ends, you should have less breakage. The less breakage, the more length you maintain. All in all your hair should grow longer as long as you're taking care of it.