I don't think so. I think it could add to general criticisms of the expert witness system, but that can be dysfunctional without being illegal. It could add to criticisms of Judge Goss's management of the trial but we would need more detail.
I think the fact that he seems to have misled the jury, intentionally or not, on his affiliation with GOSH, and the fact that he seems to have waited a month or so to tell the CPS about the case or something could be used to challenge his suitability for future cases. That's assuming the unresolved GMC case wasn't a problem anyway.
There have been a lot of challenges to Hindmarsh's evidence anyway, especially around the difference between newborn babies and older children, since he didn't specialise in babies. There have been serious criticisms of the mechanism he suggested for poisoning and his calculations. So I would expect plenty of robust rebuttals of his evidence, but not really based on the GMC / GOSH business directly.