Yes, for some time now Sony has been releasing special editions of its DualSense, like the God of War limited edition pad that can be bought directly from PlayStation.
As well as game specific controllers and the original White variant you can also now choose from a number of unique colours, these are: Cosmic Red, Midnight Black, Nova Pink, Starlight Blue, Galactic Purple and Grey Camoflage.
If you want to design your own PS5 controller you can visit sites such as Custom Controllers and create your own gamepad.