Can We Trace All Bishops Back to the Apostles?

No. We do have a list of all popes from the present back to St. Peter, and it may be that certain ancient dioceses have maintained lists of successors for their diocese. But there is no universal list of all bishops everywhere from modern times back to the apostles. The pope is the successor to St. Peter; all other bishops are successors to the apostles as an apostolic body.