Define published. The astonishing ease of self-publishing, whether by way of blogs, e-books, print on demand, or vanity — er, subsidy — presses, has eroded the precision of that distinction.
Are you a professional writer — meaning, do you earn money by writing? If you collect pocket change by writing for content farms, placing yourself in that category might be a stretch, but many writers who are considered professionals derive much of their income from other sources yet still earn the label.
So, YES, you are, if you want to be.