No, the insulation shouldn't contact the drywall. Insulation is developed to control temperature; if it touches the drywall, it is going to absorb dampness in the air, which can result in mould and mildew progress. Batt and roll insulation (also called blanket insulation) are meant to match in between joists https://emiliano7uiue.tokka-blog.com/32499070/detailed-notes-on-insulation-installation