is it just me or any character with a stat of 1 can't do much?
combat: very risky, but, okay, you can try to avoid combat. or traps. or anything that could wipe your unique HP.
magic: no you can't, because using magic would also wipe out your unique HP.
I'm a bit skeptical. I really like the "one-stat" idea, but I think it leaves no chance if you try to play a character with a single stat of one, unless you give them plenty of valuable equipment, or a treasure, or leave a guardian angel around.