Can 3b file without filing gstr1

As per latest QRMP scheme,u need to upload monthly gstr1 only if u have B2B, amended B2B, credit notes and amended credit notes, if not then no need to file the monthly Gstr 1,but make only necessary payment if required (in ur case not required as it is exempted goods) and directly file quarterly return 3B, no issue

GSTR-3B can be filed without filing GSTR-1. But if GSTR-1 is not filed on time then it also attracts late fees.