Consider the following premises. For all x, if x were a cashier, then x is sad. For all x, if x were curious, then x is a cashier. For all x, if x were sad, then x is playing a game. There is at least one x for which if x plays a game, then x is curious. Can we infer the following from them? For all x, the fact that x were sad does not imply that x is curious.
That contradicts the premises. Therefore the answer is no.