Plan B changes Period cycle?

Patient: I took Plan B (morning after pill) just under a month ago, I got my period 5 days later (this was not my expected period). I also started birth control right after my unexpected from Plan B ended, But now according to my birth control it is time for my expected period and I am late, is it common for Plan B to change your cycle?

Symptoms: Unexpected Period from Plan B, Started Birth Control, Late Period