yes it is possible and really quite easy to do. Ive never done it on a Fiero but with my numerous trucks over the past years i have.
If you have an Oreilly nearby i know they sell a master cylinder blleding kit for about 12 bucks at most and it should hav eenough lines and the proper adapters to bleed the master properly.
the only thing i would advise is to possibly remove the master to make the rod that extends and forces the mastercylinder to operate adjust further outward if possible because the longer the borestroke you can make the less and less airbubbles you will have in your internal structure of the master.
you may have to rebleed the brake lines again afterwards but you should have the problem fixed after only an hour or a beer.
Now if it dosnt help atall and only seems to get worse and worse the more you bleed it then either your master or possibly your Proportioning valve has failed. New masters are cheap and whatever you do EVEN IF they have to order out, get a BRAND NEW ONE!!! I learned my mistake getting a remanufactuerd one that was defective right out of the box! New is always worth the few extra bucks and they will take your old one in as a core charge so make sure you bring it along after you disasemble it. Meaning remove the resevoir after draining it and disposing of the leftover brakefluid properly.
Also be careful to not spill any fluid on your paint as it will eat away at it. If you do dont freak out and spend thousands of dollars getting a new paintjob, just throw a rag on it quikly and dab it up then wipe up whats left minimising the spreading of the fluid.
hope this helps you!
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Chris the Madman Robles