Yes, vigorous writing is concise. Paragraphs should have no unnecessary sentences, and sentences should have no unnecessary words. Although you want to be concise, you want your writing to come to life, and the reader to feel he has actually stepped into the writing. A few colorful phrases here and there are enough to bring a piece of writing to life. Some check points to make writing more concise are
1) Check your lead.
2) Can you condense the first couple paragraphs into one or two sentences?
3) Are you using too much unimportant detail?
4) Are you over-explaining?
5) Are you sermonizing?
6) Avoid clichés.
7) Are any sentences 25 words or longer? Shorten them. (A nice sentence length is 17 words). Try to vary sentences–one long, one short.
8) Use a one-sentence paragraph here and there.
9) Use concrete details to show a character in action.
10) Eliminate the word “that” if a sentence makes sense without it.
11) Use contractions.
12) Put yourself on a word budget. Don’t use 20 words if five will do.