Maybe. It depends on the context.
If these terms are being used as individual signs of affection then it’s really a free for all, just as any endearing nickname. For example, when I was a child my sister playfully called me “booger” sometimes, but that had no defined meaning more than her expressing a playful attitude toward me.
If these terms are being used as personal identifiers then there is meaning to each. For example, a kitten generally displays kitten-like traits, such as purring, as a way of self-expression. Other identifier explanations can be found on our resource page that explains different types of littles.