No.
- M"B 4:13; Ketzos Hashulchan 2:2; Piskeiy Teshuvos 4:9; Admur in Kama 4:6 and Basra 4:2 [based on Taz 4:2] mentions not to touch the area of the body from which blood was let from. From here we can also learn that it is forbidden to touch any wound on the body prior to washing hands. ↩