Well, no. You can encode 24p files (commercial films do this). They contain flags for insertion of pulldown by the player.
Now, on a theoritical level, the 24p frames may stored as two "48i" fields, and the fields are repeated per instruction by the flags, but the video is not 60i. It doesn't pull a 24p stream out of 60i video.
Not every player can play the 24p file, though. Progressive-scan players can if playing to a progressive screen. Interlace-only players will insert the pulldown no matter the screen.
Now, on a theoritical level, the 24p frames may stored as two "48i" fields, and the fields are repeated per instruction by the flags, but the video is not 60i. It doesn't pull a 24p stream out of 60i video.
Not every player can play the 24p file, though. Progressive-scan players can if playing to a progressive screen. Interlace-only players will insert the pulldown no matter the screen.