Yes, I think it's possible, but hard to do through article writing alone. Cranking out $5-10 pieces for brokerage sites and clients who don't want to pay much isn't going to cut it. You're in for a heck of a lot of burnout too, unless you really enjoy writing, or snag a huge project you're really passionate about.
Do what you need to do to survive, but always focus on going for the big guys for bigger bucks, or building your money from content in other ways.
I think it's better to use article writing as your bread and butter starting out. When I still had a job, I wrote lots of articles on the side and earned a decent amount (about 5-10K per year doing it part time). Later, I ended up shrinking the amount of articles I wrote and directing my writing abilities to more passive income streams.
$60,000 is absolutely possible with your own content, if you look at traditional articles as only a small piece of the puzzle. Blogs, niche sites, or places that give you a revenue share (Infobarrel, Squidoo, Hubpages) can all contribute to your income. This money fluctuates, but the more you build it up, the more you'll make while you are writing articles for a set dollar amount.
Another way to hit $60,000 is to leverage your writing skills in more of a consulting framework or by creating info products. I would consider copy writing and serious editorial work on par with consulting. If you build up a following or market yourself, you can connect with clients who will pay a ton just for your reputation.