Not going to happen. You have one hour to remove it or you loose end organ function, if you place the REBOA balloon too high you kill the kidneys. You are better off just giving them replacement product as they hemorrhage as you get in the OR. Plus a cross clamp is placed by a surgeon or by (a very few very brave) emergency physicians, it isn't anywhere close to something EMS will ever do.
REBOA may hold some benefit for providers who get to practice and have a somewhat extended transport time to a trauma surgeon (1-6 hours), but that is going to be very rare outside of the military.
No only are you making cool aid, you are also making them cold and acidotic. Trauma triad of death.