SNK have released their mobile version of The King Of Fighters ‘98, and it has a local multiplayer mode. You’ll be able to play against a friend via Bluetooth.
This is the Neo Geo version of the game, which includes 38 characters and staples such as Iori Yagami.
It also has both Extra and Advanced modes, and a Training mode (though this is a training mode from the 90’s, so don’t go in expecting more modern day updates).
You can also play with either the 4 button configuration or 6 button scheme. There’s also a newbie SP button, and Bluetooth controller support.