Not according to one of the best contemporary essayists, Jacob Eptsein:
After thirty years of teaching a university course in something called advanced prose style, my accumulated wisdom on the subject, inspissated into a single thought, is that writing cannot be taught, though it can be learned—and that, friends, is the sound of one hand clapping. A. J. Liebling offers a complementary view, more concise and stripped of paradox, which runs: “The only way to write is well, and how you do it is your own damn business.”Read the full article here
Learning to write sound, interesting, sometimes elegant prose is the work of a lifetime. The only way I know to do it is to read a vast deal of the best writing available, prose and poetry, with keen attention, and find a way to make use of this reading in one’s own writing. The first step is to become a slow reader.