When you try to jump into the air, you have to accelerate yourself vertically. Since there is an upward force on your body, $F_u$ for the upward acceleration, there must be an equal and opposite downward force on the box.
According to Newton's 2nd law $\large \Sigma $$F = F_u - mg = ma \rightarrow F_u = mg + ma$
Thus, the force downward on the box is greater than your weight, and is therefore greater than what the box can support.
Therefore the box will collapse.