like my beef with...

[color=indigo]1-I like beef with rice.
2-I like my beef with rice.

Can’t these sentences mean two things:
a-When I am eating beef, I like to have rice with it.
b-I like the dish which is “beef with rice”. (This could be said in a restaurant where they serve a dish called “beef with rice”).

Gratefully,
Navi.

yes.