Yes, in the configuration file you can either remove the whole message blocks you don't want or empty the messages.

For reference, this is a message block:

{
    "KillerType": "Player",
    "VictimType": "Player",
    "DamageType": "Bullet",
    "Messages": [
        "{killer} shot {victim} using their {weapon} over a distance of {distance}."
    ]
}

Removing the messages would look like this:

{
    "KillerType": "Player",
    "VictimType": "Player",
    "DamageType": "Bullet",
    "Messages": []
}

You would want to do that for the types of deaths you don't want to show.