I throw this out.... while I have self adhering stretch tape in my trauma pouches for range use, there are options to hold a compress in place (Israeli dressings have stretch material attached as well as a lever to apply additional pressure to the wound)... duct tape, black electrical tape, friction tape etc...

when the family first moved to Florida in 1955, Dad became a member of the NPR Volunteer Fire Dept, and they had regular first aid training, and families were invited... I was too young, but I remember Mom sacrificing one of her bed sheets she had just brought from Ohio, and tearing it into strips to be used as bandaging material...