Yes! My DD didn't really socially smile until probably 9/10 weeks, she'd smile in her sleep before then or attempt to smile but wouldn't flash one on her own or immediately when we smiled at her. I was extremely worried, but now at 13 weeks she is smiling all the time. Give it a little longer! I'd say don't freak out completely until 3 months and there's nothing. I'm no doctor though, but from my experience that would be my advice. Our DD wasn't interested in people as much as our fans so it took a minute to get her attention and keep it.
Totally normal, Mama! I was worried about it, too. My baby would just watch and stare at me...until one magical day, I went to get her in the morning when she woke up, and she grinned at me so big!! I was so happy I almost cried. Hang in there...your day (or morning!) will l come!
Re: Baby not smiling