From my understanding, Crow's Foot is a cardinality style, it is always been used with the entity labels to show the relationship between entities. Chen's notation is another style of ERD. There are many different styles of ERD and there is no absolute definition of how an ERD must be. A lot of ERD use crow's foot, 1:N and some other styles.

Chen's notation does NOT include crow's foot symbols on it, however you can see some people combine them together. A crow's foot ERD from this blog, Gustavo du Mortier

Just go Google and see how many different styles of Chen's, Crow's, Hybrid or whatever they are. As long as you are concerned, and you can present your idea, then you can have your own set of diagrams.