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yes you can ! just to give you a heads up you definately ovaluate after your period it's an easy way to get pregnant I know.
My opinion is that it could easily be either guys.. each persons cycle is different as is there ovulation time.. good luck =)
Generally you ovulate between 7 and 14 days after your period starts... everybody's cycle is different. 4 days after the start of a period would be unlikely.