Cloudtail became a warrior in A Dangerous Path.
if cloudtail was cloudstar's warrior name then yes.
cloudtail
Cloudtail becomes the leader of ThunderClan in the book "The Last Hope," which is the final book of the Omen of the Stars series in the Warriors series by Erin Hunter.
He becomes a warrior after the battle over sunningrocks in a dangerous path. Bluestar at the time had doubt in StarClan and when she sees that Cloudtail doesn't believe in them she makes him a warrior but not any other apprentice.
She wanted him to be a warrior (fire &ice).
Cloudtail (cloudkit/paw)
Dovepaw will become a warrior in the 4th book, Sign of the Moon.
firestar's quest
Whitestorm's mentor in the Warrior Cats series was Lionheart. Lionheart was a respected and experienced warrior who trained Whitestorm to become a skilled and loyal member of ThunderClan.
Thornpaw was made a Warrior in Warriors: The Darkest Hour
Fireheart's sister Princess, offered one of her kits to him so that it could train to become a warrior. Fireheart ended up bringing Cloudkit (Later Cloudtail) into the clan :)