Yes, like Kafluke said, as long as you already have a way to launch CFW, you can use Haxchi to setup any forwarder you like. Its just when you install another Haxchi on your WiiU, make sure to install it on a different compatible DS game, you can use USB Helper to download the non legit DS game to use with your custom haxchi forwarder. Just change the install config file BEFORE you install a new haxchi.
I have TCP Gecko setup like that, so I barely ever have to go into the homebrew launcher anymore, because everything I need is on the WiiU Main Menu.
Just make sure if you don't have CBHC, to launch CFW before you try to launch the Custom Haxchi Forwarder, since it will be using a non legit DS title.
As for the icon and logo images, you can actually make your own for your custom haxchi forwarder.
Here is a guide for creating your own TGA images to use with the Haxchi Installer -
https://gbatemp.net/threads/how-to-create-edit-tga-files-for-haxchi.465027/
Here are the images I created for use with the TCP Gecko Haxchi Forwarder when I followed the guide -
https://gbatemp.net/threads/how-to-create-edit-tga-files-for-haxchi.465027/page-2#post-7301162