No, we will notbring a Pesach Sheni this year. אין ציבור נדחין.
Coffee addict, no ashes required. When the whole tzibur is tomei the Korban Pesach can be brought betum’ah. Therefore it stands to reason that if it were possible for a tzibur to bring a Pesach Sheni we could do so betum’ah. But in any case we’ve got three weeks till Pesach Sheni, long enough for the new kohen godol to bring a poroh adumoh and have everyone tohor. Again, however, this is all hypothetical because אין ציבור נדחין.
There’s no question that if it had been possible for us to bring the Korban Pesach two Fridays ago we would have been obliged to do so. But as Ysiegel points out this is irrelevant to Pesach Sheni.
Ysiegel, yes, if an individual missed Pesach Rishon he has a chiyuv to bring a Pesach Sheni, if he can. Unfortunately we will not be able to, even if Moshiach comes.