No, pregnancy cannot occur if there is no vaginal penetration, irrespective of whether you are on your period or not. Without penetration, sperms will never reach the egg.
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Degree in Biochemistry and Molecular Biology from the University of the Basque Country (UPV/EHU). Master's Degree in Human Assisted Reproduction from the Complutense University of Madrid (UCM). Certificate of University Expert in Genetic Diagnosis Techniques from the University of Valencia (UV).