Sure. The case law that I'm familiar with certainly suggests that peremptory challenges could be used in a given case to increase the diversity of a jury. The way that would work is that if you had an initial array of, say, 30 white male jurors, in theory someone could use some of their peremptory challenges to excuse those jurors in the hope that a more diverse group would come forward.
I think the balance of authority in the vast majority of cases demonstrates that it's actually been used in ways that reduce diversity and representativeness. The case of Colten Boushie and Gerald Stanley is certainly the most recent and, in some ways, the most visibly disappointing and shocking example, but it's certainly not the first time the peremptory challenge power has been used in ways that exclude entire groups or entire segments of Canadian society. It would be my overall view that in some ways, the mischief associated with the peremptory challenges outweighs any possible benefit.
I don't deny that there might be some anecdotal evidence that there are some cases in which it can be used to bolster diversity, but I think those don't outweigh the situations where it has been proven to undermine it.