No, playing PlayStation 2 games on a Symbian mobile phone is impossible.
Technical Barriers
Hardware Gap: Symbian devices (e.g., Nokia N8, E7) had ARM11/ARM Cortex-A8 CPUs at ~600 MHz–1 GHz and GPUs like the Broadcom BCM2727. The PS2's Emotion Engine (294 MHz MIPS) + Vector Units and Graphics Synthesizer require vastly more compute power for emulation.
Architecture Mismatch: PS2 games are compiled for MIPS-III; Symbian runs ARM binaries. Translation/emulation overhead is prohibitive on that hardware.
No Viable Emulator: No PS2 emulator was ever released for Symbian. Even early Android ports of DamonPS2/PCSX2 required Snapdragon 835+ class chips for playable speeds.
Better Alternatives for Mobile Console Gaming
Modern Smartphones (Android/iOS): Flagship and mid-range phones (Snapdragon 8 Gen 1 / A15 Bionic or newer) run PS2 titles via AetherSX2 or NetherSX2 well.
Cloud Gaming:PlayStation Plus Premium streams PS2/PS3/PS4 games to phones; Xbox Cloud Gaming and GeForce Now offer other libraries.
Native Ports: Many PS2 classics (GTA: San Andreas, Vice City, Bully, Max Payne) have official mobile ports on iOS/Android.