For the most part: no. Because we play in a world of fiction and if you watch television, which is our basis for what constitutes "acceptable fiction" currently (as a whole, some shows are obviously better than others) even the best shows get tons of shit just plain wrong.
For the most part.
I don't mind someone with Medicine 4 who isn't a medical doctor. Maybe they're just incredibly talented and self-taught. It helps if their Intelligence is high, or have the Eidetic Memory Merit, etc. These things work in concert.
People are going to make mistakes and that's just how the gaming world works. If, to run a scene wherein a lawyer is present, I have to know real law and court procedures, I'm never gonna run that shit. But we clearly don't put that sort of pressure on the writers of fiction out in TVland or Hollywood, so I'm okay with lee-way.
Just don't be ridiculous. Don't be a biologist and say "insects aren't animals, they're insects". Don't be a hacker and try to hack an isolated network (without some power that explicitly allows it). Don't get caught fucking a judge on camera and then pretend to actually have that judge preside over any case you're trying.
Just, you know, be reasonable.