not always. you obviously don't get to choose if you're unconscious and someone calls an ambulance for you. or if you get a concussion or injure yourself while intoxicated, you might not be able to fully consent to being taken to the hospital. even DNRs are not always respected.
A friend of mine has terminal cancer and is in a place like this - DNR’s pasted everywhere as the worst fear he has is he’ll get rescucitated and be even worse off.