Yes.
I don't get wee on my hands because I am not a cack-handed mong, but poo germs do get transferred to your hands when you wipe your botty, and then the germs get onto the loo handle and loo doorknob, so even if you just pop in for a wee and don't get wee on your hands, you still have to wash your hands to get rid of the old poo germs.
( Bob Todd whee, Fri 29 Feb 2008, 17:45, archived)