can newborn get attached?

Nicole • Madison Faye - 07/07/16💕✨• Married • CA
So my husband only comes home on the weekends since he works out of state and I don't know if this is a stupid question because I'm the mother but can my LO at 7 weeks old get attached to me already?! 
When I've fed her, changed her, and she falls asleep on me I put her down in her rock n play and if she doesn't see me or I'm out of sight for what seems like more then a minute she starts fussing and then starts crying until I give her the binkie and she seems me again. I can literally only escape when she's sleeping. >-<