Is it possible to look like I've lost weight while keeping my weight the same?

It's been a while since I started my diet, but the number on the scale is seriously still almost the same.
But I was a little flustered when a friend I hadn't seen in a while asked if I'd lost weight haha.

I do feel like there is more room around the waist when I wear clothes compared to before, but since my weight hasn't changed, I'm not sure if I'm doing it right.
Are there many people who noticed their body shape changing before their weight when dieting?