Can cats know when labor is close?

Laura
My cat belle has never been warm to me, she prefers snuggling up with my husband but starting this whole weekend  she has started to follow me around, sit outside the bathroom door and just stare at me at random times. When she doesn't see me she meows until she finds me. 
Has anyone experienced anything similar? Could my cat be clingy now because she senses labor is near? I'm only 30 weeks tomorrow and prefer to keep cooking baby until full term.