Can an organ donor place restrictions on who receives his organs?

1.) In another thread, the following was said about the work done by The Innocence Project:

Even if the percentage is off, you can’t argue with the absolute numbers: In the U.S., there have been **241 **post-conviction DNA exonerations, 17 of them for people who served time on death row. (Cite.)

2.) Not everybody who is in prison is a violent offender. Not everybody who was a violent offender continues to be a bad person.