This might seem like a "funny" question. I don't think this would be permitted and I really have no basis to think why it should be however I'm trying to work out why this wouldn't work (or perhaps maybe it would!) In any case this is my introduction in order to avoid any comments of "why do you think this would be good!?"
Yom Tov comes out on Thursday. Those in Chutz L'Aretz (those that live outside of Eretz Yisrael) keep Friday also as 2nd day yom tov. The same is those from Chutz L'Aretz that are in Eretz Yisrael (they also keep Friday as 2nd day yom tov.) Such a person needs to make an Eiruv Tavshilin in order to cook on Yom Tov for Shabbos. In a normal case if one was not made, the Rov of the city usually makes one that people can rely on in particular situations. In this case however there is no "rov" making one since it's in Eretz Yisrael. But let's say a rov did make an "eiruv tavshilin" would this help in order for the person to cook? What about if the rov made it before yom tov? What about if the rov made it on Friday and had in mind that it should work for this person? Would this help?