CPU players can be injured for the current week only.
Your player cannot be injured.
Unless this is something that was addressed in one of the more recent patches, I *CAN* be injured. There are at least two instances that I remember (but not real recently) that in the middle of a game, I was "unable to continue" because of an injury. I remember the most recent one since I was retired because of an ankle injury, and I had just dropped out of a match in real life the day before because I rolled my ankle. Too weird!