What you have written is correct but HA needs to know what to monitor for updates. For that you need to supply an entity id to monitor. Try this:
- platform: template
sensors:
last_fish_feed_time:
entity_id: switch.turn_on_fish_feeder # Entity to monitor for changes
friendly_name: "Last Fish Feeding Time"
value_template: "{{as_timestamp(states.switch.turn_on_fish_feeder.last_changed) | timestamp_custom('%A %d-%b-%y, %H:%M:%S')}}"