Without regard to the kind of alleged violation,
I am not an attorney, but I have heard of such things as "directed verdict" and judges finding that the facts do not support the vedict of the jury.
Not sure whether this can apply to convict an accused person, though, or even if it can happen in criminal vs. civil cases, and of course the law may vary with the jurisdiction.
As far as I know, jury nullification has been reduced to a covert thing, some places lawyers can NOT tell you about it, and the judge will make you swear to apply the law as he gives it to you. In the jury room, It might be dangerous (and unnecessary) to talk to other jurors about "jury nullification". This might be all the judge needs to take action to remove or discipline you, or both.
If I believed the person should not be convicted, would the best thing be to advocate that the defendant is simply not guilty, without trying to explain why? I don't know.
A deadlocked jury generally means there is a chance of another trial with another jury.
However, a jury persuaded to a "not guilty verdict" would seem to be the end of it.
Unless, like in the Rodney king cop-screwing case(s), a different jurisdiction decides to try the factual case as a violation of THEIR law.
Then apparently that is not double jeopardy, though it seems unjust to me.