Can I force a light component to affect only meshes in that actor?

If I add a light to an actor blueprint that I want to light just the meshes in that actor, but not the rest of the world or other actors, is it possible?

This is currently not possible with UE4’s deferred renderer. The best you can do is restrict the influence of the light to the area the meshes are in, but if any other meshes come near they will be lit too.