Many girls will sleep together, hug, kiss, hold hands and are otherwise quite physical with each other, but in a non-sexual way.
However, I think inviting a guy who doesn't behave that way into the situation is unfair. Still, no is no.

You don't have to share a bed with a girl who invites you on those terms if you don't feel comfortable doing so.
I have a male friend to whom I am not sexually attracted. We're very open in our communication. I told him once that I could sleep in the same bed with him, no problem. But he quickly said, "I couldn't." I respect his honesty and his feelings, so we don't push it farther than that.
Affectionate girls often assume that guys are just as willing to touch in a non-sexual way as they are. They should think twice before pressuring a guy into a situation that can be perceived the wrong way.
Regardless, remember, no is no.
My best,
Nikki