The Chayei Adam maintains that when it comes to the mitzvah of lulav and shofar there is no obligation for one to travel to another city to be able to fulfill the mitzvah. There seems to be a question on this from Hilchos Purim. In Hilchos Purim (685:7) we find: “Some say Parshas Zachor and Parah is de’O’raisa, therefore, people living in places without a minyan need to travel to a place which has a minyan on Shabbos in order that they can fulfill the mitzvah de’O’raisa.” This is brought down l’halachah by the Chayei Adam (Klal 151:1). Surely, we see from this halachah, that one must travel to another city in order to be able to fulfill a mitzvah? (It’s difficult to say we are talking about a case when one can go to the next city on Shabbos itself, using eruvei techumim, as the poskim should speak this point out.)
Seemingly, this is like the Minchas Chinuch which holds that one must go to Yerusholayim before Pesach so that when erev Pesach arrives he is able to bring a korban pesach, and the same thing is with Parshas Zachor and Parah. One must travel to a place where there will be a minyan on Shabbos, as Chazal established that these parshiyos are to be read on these specific weeks, and one must do what he can to ensure that he is in a place with a minyan. (The source for this halachah about Parshas Zachor is the Terumas HaDeshen 108, and if you look up the source it doesn’t seem like there is an obligation to travel to another city, however, the Shulchan Aruch seems to understand there is, tzorich iyun.)
According to this, in our case as well, there is room to say that the yeshivah bochur should travel before Yom Tov to a place where he will have a minyan and krias haTorah for Yom Tov Sheini, like the Minchas Chinuch takes on by korban pesach, and the Shulchan Aruch takes on by Parshas Zachor and Parah. However, we can differentiate between all these cases and our case, as Parshas Zachor, Parah and korban pesach are all mitzvos that are de’O’raisa, whereas davening with a minyan on Yom Tov Sheini is only derabonon.