No, the insulation mustn't contact the drywall. Insulation is made to regulate temperature; if it touches the drywall, it can soak up humidity from your air, which can result in mould and mildew development. The paper side of confronted insulation is flammable and will have to not be left uncovered. https://zozodirectory.com/listings13051565/top-latest-five-insulation-installation-urban-news