No, InDesign is not a very good drawing program. It's also not an option in Illustrator (although many feel it should).
Use some other software to create it as a separate image, and place that into InDesign.
although there Indesign is primarily not used for making mind maps, you can still make them somehow using text frames and arrowheads(line tool to make a line then strokes to add effects).
hopefully this answers your query
There are some (free or inexpensive) applications that should make this easy for you:
It looks to me like using these apps will allow you to focus on gathering your thoughts together, and less on how to manage curves in Illustrator, if you don't already have those skills.