I recall seeing someone describe derivitization on a fiber before GC analysis. The impression that I have was that it was on an autosampler with multiple samples and the derivitization was with vapors of the derivitizing agent. With the warning that I could have jumbled a couple of things together over time, I will encourage you to do some looking in the literature.
But even without looking in the literature - if you are to reuse the fiber, try exposing the fiber to derivatizing agent and then your sample. See if it works. Polyethylene glycol does not have many active hydrogens, so, even slightly modified with derivitization, the fiber may work well for you. And keep in mind that on performing derivitization, you do not want to extract your compound from the fiber. My memory of the work from years ago was that this was the point of derivitization with vapors rather than liquid. And as I am trying to remember back, those vapors may have been before exposing the fiber in the inlet - or may have been introduced in the GC inlet as the fiber was exposed.