You can with invulnerability, too.
Just has to be a means of deprivation, not outright bodily damage.
Starvation, dehydration, aging/temporal effects, etc.
“…Judge not what a man has done, but judge what he could have done if he was a different bloke altogether. For art thou a leper? And a leper can changeth his spots…” --Rudy Wade, Misfits (Series 4, Episode 8)