Hi, I don't see why it shouldn't be able to run on these distributions. There's probably no need to make any source changes, but you (or someone else) needs to compile FS-UAE.
If all dependencies are installed (libraries, gcc, gnu make) it is as easy downloading the source code, extracting it, and run "make"
(
http://fengestad.no/fs-uae/compiling)
I cannot myself provide official binaries for all Linux distributions, but if someone maintains and publishes binaries for e.g. Puppy Linux I can add a link to the download page.