Lance Henriksen has played characters that were killed by a Terminator and a Predator.
Technically, Bishop is an android and cannot be killed, as is in evidence when Bishop survived being torn apart by the Queen.
Ultimately, Bishop 'died' when Ripley 'pulled the plug' on him.
So no, Bishop was not 'killed' by an Alien. Just Predator and a Terminator.
[EDiT]: What a shitty start to the year this has been.