It is not impossible. But you're really in the "look for another job in your spare time" range here. I can't guarantee anything, really, but you're almost certainly being grotesquely underpaid. That's intern levels of pay... and I write to you from the Midwest, not NYC!

Bear in mind that interviewing when you already have a job is intrinsically less stressful, because your worst-case is way less bad, and that comes out in the interview itself because you'll be more relaxed. It's not as bad as you may remember it. It's part of why you should always interview while you still have a job if you can.