Not that you would given that Israel is not monarchy and that kings are not exactly elected.
But can it? Would that be halacha? I've heard we have issues like this during, herod. I just want to understand a bit about the context.
Recently a governor in Jakarta wasn't elected and thrown to jail over mentioning a quranic text that suggest that muslims must not vote for non muslim leaders. You can see the case https://www.theguardian.com/world/2016/dec/12/jakarta-governor-ahoks-blasphemy-trial-all-you-need-to-know
That governor was a very popular governor with the media claiming the election "feels like presidential election".
Someone were joking in Indonesian forum saying that in Israel some honest muslim governor are also jailed for similar case.
I just remember similar verse somewhere in the bible about not picking king among non jews and would like to compare. I forget the verse.