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Adventure Path Charter Subscriber; Pathfinder Rulebook, Starfinder Adventure Path, Starfinder Roleplaying Game, Starfinder Society Subscriber
It's right before the list of variant channeling portfolios: "A character who has the channel energy ability from a class other than cleric may use these variant channeling rules if the class's abilities are tied to serving a deity. For example, paladins can select alternative channeling abilities if they serve a deity, as can oracles with the Life mystery (as they serve many deities), but necromancer wizards cannot."
If your life oracle worships a deity, then they can select a variant channel that matches the deity's portfolio. If the life oracle doesn't worship a deity, then they cannot select a variant channel.