Is it possible to remove the pulley from the power steering pump from a 2006 hyundai tucson 2.7L?

 

I have never had the need to change one on a Hyundai..
What you might check is your local parts supplier or even a dealership. If a replacement PSP comes without a pulley attached, you know it must be removed and reinstalled on the replacement pump assy. There are special pullers and installing tools to do this . Most folks don't have the tools so you can check for a shop that will do that for you . Some parts places will also do that for you if necessary, for a fee.