Not the Homies.
Just the generic Saints, and not so much facial hair, just hairstyles.
They actually did confirm you can customize the special Saints in a blogpost
Yes, that’s right, Neenah, Eli and Kevin can also have their outfits changed, lots of options available unlockable through progression – their signature style stays (do not put a shirt on Kev, that is illegal), but you can change it up a bit as you become more and more branded as The Saints.