Not without due process. They must be convicted of a capital crime before the government can kill them at all and even then it would be weird for the government to send out a posse to just kill them on sight, especially if it were a large number of them.But that's why I said "the right part of government". That can be taken to mean whatever part of the government that has the proper authority to go after criminals with deadly force, if appropriate. Is deadly force appropriate for pedophiles?
1 Thessalonians 5:22 Abstain from all appearance of evil.
If nothing else, doing so would rob the victims (and their families) the right to participate in the execution, should they desire to do so.