No it doesn't--specifically when it concerns property. If the government is taking away a property right of mine, it is required to give me due process, and I'm certainly not a charged criminal. Due process definitely extends well beyond the world of criminal law.
Well, Terri Schiavo is not anyone's property.
And she has never had a lawyer of her own, either. She's had nothing but representation that wants to off her at their earliest convenience.
Certainly you don't believe that she has had the kind of representation that is required before the state can kill a person.
Certainly you don't think that, even if she had been convicted of a capital crime, any civilized nation would kill her by thirst and starvation.