Consider the following premises. If it snows, then it is cold. If Jessica were an electrician, then William is a janitor. If William were a janitor, then it is snowing. If it is cold, then Sarah is sleeping. If Sarah sleeps, then Jessica is an electrician. Can we infer the following from them? The fact that it snows does not imply that it is cold.
That contradicts the premises. Therefore the answer is no.