Nope. Not without getting a job offer first. The company has to apply for the work visa, not you. No job prospect, no visa. Lose your job, lose your visa. This isn't Canada or Aus. No dole either.
Actually, local diploma holders here have the same qualifications and work for less than 2K here. It's doubtful, with your qualifications, that you would be approved for a work visa even if you found a company willing to hire you. It sucks, but that's the way it is.
SOME PEOPLE TRY TO TURN BACK THEIR ODOMETERS. NOT ME. I WANT PEOPLE TO KNOW WHY I LOOK THIS WAY. I'VE TRAVELED A LONG WAY, AND SOME OF THE ROADS WEREN'T PAVED. ~ Will Rogers