Of course there is different types of crying.
Crying first thin in the morning…hungry….feed me.
Crying after eating..I need to burp..I have gas.
Crying out of fear such as an unknown noise ..startled .( ex: someone who drops a pot or outside construction..anything out of the ordinary.
Crying slightly when the mother is out of sight for a moment going into the other room for example and they stop after she returns..fear of abandonment unless occupied with a sibling or toy etc
If cold they cry briefly until soothed by warmth.
That is there only way to communicate and its up the the parent to distinguish the differences from needs or pain ( like a safety pin etc)
I would like to add that no not all babies sound the same, depends on there sensitivities.Each is different ,if one ever spent time in a Hospital nursery one would hear the different cries.