Can a Pitcher still have a perfect game if someone on his team gives up an error but the pitcher himself does not allow anyone on base?
No. The definition of a perfect game is that no one reaches base
in any way for the entire game, even if that runner is thrown out
on the same play. If the second baseman makes an error and allows
someone to reach first base, even if the runner tries for second
base and gets thrown out, the perfect game is over. It becomes a