Yep! After I play with a household for a good amount of time, I eventually become attached to them, especially if they have some life-changing event (aging up, moving elsewhere, getting married, you get it). I think part of why is that most of my sims are based on me and my life or people in my life. I tend to use Sims to live out certain fantasies in my head.
I'm especially attached to my legacy households. I love the heir as soon as it's born.