Not necessarily. There are records of scourging victims with exposed spines lingering for days.
For more intriguing discussion on the Crucifixion and the physical torment leading up to it, I like Lee Strobel's book, The Case for Christ. It discusses much more than the specifics about what scholars think the torture was like (in fact, the book makes the "case", from the standpoint of a law review author and former atheist, for believing in a historical Jesus). But the sections on Jesus' treatment at the hands of the Romans are particularly interesting.
Strobel is incredible. I recommend all of his books.