A packaging system (10) includes a supply (12) of stock material (14) having a cohesive on a surface thereof and an apparatus (16) for converting the stock material (14) into a packaging product (20). The apparatus (16) includes at least one crumpling assembly (22) that can advance stock material (14) from the supply (12) and can cause the stock material (14) to randomly crumple. The apparatus (16) also includes a joining assembly (24) that can bring the crumpled stock material (26) together with uncrumpled stock material (28). The crumpled stock material (26) and the uncrumpled stock material (28) each have a cohesive on at least a portion of mutually facing surfaces such that the cohesive portions on those surfaces bond together when they come into contact with each other, thereby securing the crumpled stock material (26) to the uncrumpled stock material (28).