To those that think a PSU can't kill, please refrain from offering any electrical advice. For those that refuse to believe low voltages can kill on occasion, again, please stay quiet.
To the OP - it's perfectly possible to change the fan in the PSU yourself, but it is a job that should be done with a lot of respect for what you are working with. Ensure the unit is disconnected from the mains, and ideally leave dormant for a day or so beforehand, as typically most PSU caps will lose their charge over this period. When working in the unit, ensure that you do not touch any exposed wiring or components, and work with insulated tooling. If you're careful there is nothing wrong with doing this, you just have to have a healthy respect for electricity!