Improbable? perhaps
Impossible? nope
Plumjam is a total woo... if he likes it, then that speaks for itself.
But mice bioluminescence is irrelevant to the analogy--because what evolves is directed by the information most likely to get copied. There would be no reason for a mouse to glow... though if one glowed a little and it gave it a survival advantage--you could bet it would happen. But like albino animals, its seems like a glowing mouse would make said mouse easier for predators to spot, and so bioluminescence is unlikely to evolve in rodents. How could such information get itself copied if it's vectors were more likely to end up as an owl or snakes dinner? And why is Jim so daft so as not to see this giant irrelevancy while ignoring far more pertinent aspects and questions?
Now humans might think of an idea like, "how can I incorporate some gene into another organism and readily be able to tell if it incorporated?" Bioluminescence became one of the tricks humans evolved to do in situ probes of genomes (by figuring out how fireflies glowed at first)... and humans tweaked and refined the evolving information to see what else they could do with it and eventually they made some glowing mice. Not instantly... a lot of information evolved to get the exciting critter of the glowing mouse... and who knows what use we might find for the "glowing gene" memeplex we've evolved. But the information evolved based on what worked. No one thought "lets make a mouse glow 20 years ago. If humans didn't think it it was cool and keep trying and building upon what worked, glowing mice would not exist. We don't know what will be 20 years hence--we have to wait for the information to evolve based on what humans replicate.
Information that gets itself copied via human minds or technology (or the human sex drive)-- whether it's "glowing genes", vehicle designs, internet access, a chain letter, the supposed secret to salvation (religious memeplexes), or venereal diseases-- can evolve... because their replicators evolved to preferentially select and pass on certain types of information as part of the process of "going about their lives". With or without intent...
Information (whether in genomes, digital format, a recipe, music, or a design) that is preferentially selected, recombined, replicated, etc. drives evolution and brings about things that seem miraculous to those not in the know of the process. Glowing mice would have been miracles from god to the primitive people of generations past. So would airplanes. Not understanding how information evolves to build complexities in matter just makes people prone to see miracles and design where there is none-- and to conclude that this couldn't have come about "randomly".
Humans evolved brains that evolve other ways of passing on information--other than genes and primitive learning... and we evolved machines computers that do it better than brains even...
Don't get drawn into answering their silly questions--they are as irrelevent as they sound, and they will ignore your answers and never answer your questions and the more they say, the less it will make sense-- all their questions are that weirdly loaded kind designed to infer something--not find out anything.
Neither Mijo or Jimbob have a clue about what creationists do and don't use though the pretend they do. If anyone is interested I provided links to Eugenie Scott videos--she's very eloquent and sums up the ID crowd--it's her area of expertise and she was at the Dover trial. So does Dawkins review of Behe's books-- their whole thing is to obfuscate understanding of evolution to characterize it as "scientists think all this happened randomly". None of them go out of their way like Southwind did to show that it's selection over time that is responsible--not "randomness". Scientists use this sort of analogy all the time (as my links show)... trial and error through time with some information preferentially being passed on, and some dying out--like the glider prototype of the wright brothers. There's lots of fits and starts and maybes before you finally get a "step forward" in the evolution of information (whether in genomes or other vehicles).
Selfish gene or selfish meme-- information that is good at getting itself copied is information that has a chance of being part of the future and what evolves.