I assume you are talking about the in-game menu in the new trilogy, right?
There is no official way to do so, at least as far as I know. However, you might be able to make a mod for it. Though I can not guarantee this would work.
I found the images that I think used to display the controller in the menu. It is in 004A314BA75429D7.GFXF, in shapes. I can give you more detailed instruction if needed.
If you want to discuss anything regarding the modding of Hitman game, you can use the modding thread:
Keep in mind; IOI officially does not endorse any modification towards their game.