Where there’s a will there’s a way. It could probably be supported with reinforcements. The drawers are in the way but you could support the section under the drawers as the vertical pieces between the drawers would help support the top. Just figure where all the weight is going and make sure you don’t have a weak link somewhere.
Above the drawers you could probably screw in a couple of pieces of wood to support the sides better.
Above the drawers you could probably screw in a couple of pieces of wood to support the sides better.