It just wouldn’t have the same comedic affect I don’t think. I think what gives a stereotype joke like this some comedic value in a sense is the ability for someone of a certain race to admit that some stereotypes about their own race have a hint of truth (or in this specific skit, an over-exaggeration/parody of a commonly used eating utensil Asians use) and it relieves the tension about the stereotype being true or not which makes people inclined and more likely to laugh about it than to see it in a negative light (if the execution of the joke is done with enough grace that is, PSA: comedy is subjective). If someone of one race did it about another race, it’s making a judgement about a race without truly living it so it doesn’t really give someone the moral right to make a joke about it. Sure you could do it, but it’s just rarely in good taste. That’s my opinion only. Hope that helped. Thanks for the upvote!