No.
I know that 2) is correct.
But the first sentence seems odd to me because you can't compare your answers with a partner, i.e. compare things with a human being, for example.
My guess is as follows :The first sentence could mean that you just have to check your answers with your partner without asking or seeing his or her own answers to the same questions, saying "Do you think I got this right? What do you think of my answer to this question?, etc."
That's what I was thinking too. When you say, "You can't compare your answers with a partner", that only applies if you have already decided that the sentence must be read that in that way - which, of course, is begging the question. But there is nothing in the sentence, or the context you've given that mandates that the sentence be read that way.
Conversely, you can compare your answers with a partner's without your partner's involvement (or even his knowledge). In that case, you are not comparing your answers with your partner.
However, the context should make it clear what is meant. In the right context, either sentence could mean that both these elements were intended, ie. "With your partner, compare your answers to your partner's answers."