No. Oscar Peterson Plays The Jerome Kern Song Book was recorded in 1959. You are thinking of Oscar Peterson Plays Jerome Kern which was recorded in 1952-53. However, be advised that even this album isn't complete on the Mosaic set. They left out one track because it has Herb Ellis on guitar instead of Barney Kessel. Similarly the Richard Rodgers and Vincent Youmans albums are incomplete for the same reason. I think this was a bad decision on Mosaic's part. Completing the December 1953 trio output would have made those three albums complete, and those few extra tracks might very well have fitted on the same number of CDs. Now, if Mosaic is planning a second box covering the Herb Ellis recordings the situation will be remedied eventually, but if not, I think it is unfortunate that those albums are left incomplete when just a few extra tracks could have completed them.
The complete 1951-54 "songbooks" (not part of the album titles) have however been reissued on CD on an Avid set, so one can get the missing material there, but it will be remastered from LPs then instead.