Applying H1b and F1 visas parallely

Hello All,Good morning.My H1b visa is under processing and due for stamping in couple of months. My query is can we apply for MS in universities parallely? Will obtaining a SEVIS I20(Official certificate of eligibility for F1) from universities before my h1b stamping interview cause any issue during the stamping interview? Will the officials know about the same in any way.