Question UGUI rect limits doubt.

I'm trying to achieve something with the UGUI but I'm not sure if this is possible at all. I'm working on the UI for my dialogue system and I'm creating a speech bubble that increases size with the text. I had this idea of making the character name before the text, with a nice background, but was wondering if I can achieve something like this:



Made that image because I had no clue on how to describe my goal, is that possible at all? Anyone has any suggestion? Another thing I was having trouble and would love to have any idea if it's possible to achieve this with the UGUI components without coding:



I have no problem with coding these if necessary, but I see Unity has a lot of components to create nice user interface setups, if someone knows how to help I would appreciate a lot.