Do feet get narrower with age?

I'm curious, is it true that feet tend to narrow as we age? I've heard some people say that over time, the bones in our feet shift and cause them to become narrower, but I'm not sure if there's any scientific evidence to support this. Can you shed some light on this topic? Is it possible for feet to change shape and size as we get older, and if so, what factors might contribute to this?