No, not really!!! The only person you can trust with your life is yourself. I think its odd that people swear or want people to swear that they or the person at hand can be trusted with their lives. Your life is no one's responsibility except your own!!!!
Technically you can say you trust doctors with your life, but I don't really believe that. You really trust doctors to help you get better, to make the pain to go away, to essentially fix you. You only temporarily hand over your life to another in hopes that they can improve your chances against your mortality.