You made a statement and signed it under penalty of perjury and have admitted to it here, whatever your excuse is does not change the fact. If you are lucky, the cops may let you change the statement but if it was me, no way, too many people are falsely accused of committing crimes as my wife was and now those that did are in serious trouble for their effort.
Falsely accusing a person of a crime is outrageous and can lead to all sorts of consequences for them and for you.