You can use a Switch emulator to run the game locally on your phone. This requires a powerful device (like a Snapdragon 8 Gen 2 or better) to achieve playable frame rates. Yuzu Emulator on Android easy (Install & Setup) Guide
No official method exists. Even via emulation, Android Yuzu does not currently support online multiplayer for Mario Kart 8 Deluxe . You can use a Switch emulator to run