No. Cloud Strife is not a playable character in Kingdom Hearts II (PS2/PS3/PS4/Xbox/PC).
He appears as an **NPC/Boss** in the **Olympus Coliseum** (Underworld Tournament / Hades Paradox Cup). He fights for Hades, then aids Sora. Iconic "Fenrir" bike keyblade unlockable.
If you want to *play* as Cloud in a KH-style action game: Dissidia NT, FFVII Remake/Rebirth, Smash Ultimate, or mod KHII PC (character swap codes).