Can a woman become a Russian president? No. Russians wouldn't approve Putin having a sex change.
Is this a jab towards women or what?
It's not a view and it's only the case in Russia. Putin has more power than a president of the US and he's a man, so women can't be president, simply because Putin is.
Russia sounds like it has archaic rules that you probably shouldn't joke about. A lot of people are harmed through oppressive policies like Putin has put in place.