To obtain compensation, it is not necessary that someone be convicted of the crime first. You were not at work, not on the road and a crime was not being committed. Suppose you are injured at home. The general answer is No. However, it is possible to recover compensation in some cases.
Many people take out personal accident insurance cover.
Others take out cover against sports injuries. A typical personal accident policy will pay your wages while off work and provide a lump sum for loss of a limb etc. One of the major causes of being off work for young men in their 20's is sports injury. Contact sports such as boxing, rugby, Australian Rules are notorious for causing injury. A Sports Injury policy will pay your wages and provide a lump sum in the case of permanent impairment.