Yes, tissue transplant is a proven medical procedure, with a very high rate of success. The American Association of Tissue Banks estimates that there are 450,000 tissue procedures done every year. Many organ donors have also been tissue donors. The gift of organs and tissue from just one donor can help as many as 75 people. Organ donation usually take place only when brain death has occurred.
Brain death means that all brain function has ceased, and there is no possibility of revival.
The body's organs can be maintained for a short time by means of mechanical support, but once brain death has happened it cannot be reversed. Because death must occur in a hospital, where machines to support the organs are available, the opportunities for organ donation are very limited. This greatly increases the number of circumstances under which tissue donation is an option. Unlike organ transplants, which require recipients to take anti-rejection drugs, tissue transplants aren't subject to rejection. Recipients don't have to take anti-rejection medication.