no, the two things are completely unrelated the matrix could have gone trought 5 iteractions of the one cicle that morpheus knew nothing about, each resulting

no, the two things are completely unrelated the matrix could have gone trought 5 iteractions of the one cicle that morpheus knew nothing about, each resulting in the destruction of zion. yet in this current version of the matrix, during this cicle, morpheus could have find 5 previous individuals that he tough were candidates to being the one, all that were ultimately not the one and who died fighting smith, before finaly finding neo the actual one for this latest cicle of the matrix.