Yes it should for child killers, terrorists and people who show no remorse or indeed be available for killers who feel so bad and remorseful that they want to die.
However since the death penalty is never likely to be used again then life in prison should mean exactly that or at least jail should be used until a killer is too old to be a danger to society and they have lost most of their quality years behind bars. So if a 21 year old commits murder then they should be in prison until their mid 80s when they will be released to an open care home for ex offenders. They will have been robbed of the life they stole from their victim. Not be able to go on holiday, go to the pub, get married etc.