No, I think that most stars huge enough to form black holes, need a few millions of years to do so from birth to death. Since we can only see stars in the Milky Way up to a few tens of thousands of light years away, only about 1% of them should've collapsed to a black hole since they emitted the light we now see here.
But many of the same kind of giant stars observed in the Andromeda galaxy, which is 2+ million light years away, might have turned into black holes "today". Because their light travel time is comparable with their lifetime. If one could observe such young giant stars more than 0.1 billion light years away, one could confidently say that ALL of them have turned into black holes now as the light of their past starlife reaches us.