Considering the fact that none of us are born with the knowledge of writing, I think it is safe to say that writing, like everything else, is a skill that can be developed. A lot depends on one’s aptitude and interest however. You are not going to get better at writing if you don’t want to.
I believe good writing stems from:
- Skill with language.
- Clear thinking.
- Concern for the reader.
You naturally have to abide by the rules of grammar or your writing is not really writing. You need to appreciate the function of grammar and why it is useful to follow grammatical rules. They make reading easy.
You need to understand what you are trying to convey. Otherwise you will end up conveying confusion and your writing will not really make anyone wiser.
You need to be mindful of the fact that what you are writing will be read by someone. If they can’t easily grasp your intent, you will have failed at your job. A lot of people “write for themselves”. While doing so does have value in a therapeutic sense, it serves no greater purpose. Writing is, first and foremost, communication.
So yes, writing can be learned if one wants to. One can get aptitude by inheritance, but the actual art of writing can only ever be learned.