In my artscroll machzor it mentioned that there are those who have a custom not to eat any sort of roasted meat on Pesach so that we not be confused and think that we are actually eating the korban Pesach, which was roasted. Does the same custom exist for Pesach Sheni; meaning is there a custom to refrain from eating roasted meat on Pesach Sheni for fear of confusion with the actual korban which was brought on Pesach Sheni by those who weren't able to bring it on Pesach rishon?
Rasash Pesachim 53a writes that if a community's custom is not to eat roasted meat on the evening of 15 Iyar for the same reason it is not eaten on the night of Pesach, then they should not eat it. He writes that even in a community which doesn't have this custom, eating a full roasted lamb in the manner of the Korban Pesach would remain prohibited as that is not a location-based custom. Kaf HaChaim 476:1 mentions this.
Minchas Chinuch 7:3 disagrees and says the prohibition on eating the full roasted lamb is only for the real Pesach as that is when most people brought the sacrifice, however on Pesach Sheni when only a minority did so there is no such prohibition.
Rabbi Efraim Greenblatt Zatzal in Rivivos Efraim 2:138 quotes Rabbi Ovadya Yosef Zatzal in Chazon Ovadya (unable to find) and says there is no reason to prohibit eating roasted meat on the eve following Pesach Sheni.