Yes, your baby can sleep now and while you're walking around, he is most likely sleeping because you moving rocks him to sleep. Also, it may just be hard to feel him moving while you're not laying down right now.
That makes sense. I work with children so I am always moving and am on autopilot...lol
I have noticed that I feel my baby more after work because I am relaxing and not running around so I'm paying attention more, but sometimes we don't feel when they are moving around just when they make big kicks.