Yes, such a scenario is plausible, and there are some cases where it has probably happened. But since juries do not normally give reasons for their votes, it is hard to establish when it has and when it has not happened, and I have seen no statistics on such occurrences.
By the way, "Jury Nullification" is simply when one or more jury members vote in a particular way because of something other than the law and evidence as presented in the trial. Most often the term is used when a jury votes to acquit because they dislike or disapprove of the law involved. For example, in the 1850s a number of people accused of violating the US Fugitive Slave Law by harboring runaway slaves were acquitted, reputedly because juries who disliked the law (quite unpopular in many northern states) no matter what the evidence. Later, during Prohibition, some people charged with possessing or selling alcohol were acquitted, reputedly by juries who disapproved of Prohibition. In both cases, it is hard to get authoritative sources that specific cases were actual instances of jury nullification.
Anyway, a juror need not "ask" for jury nullification, that juror just votes to acquit. A jury that votes to acquit (or convict) because of political or personal views about the accused might be said to be "biased" but I am not sure if that would be described as "jury nullification".