You could in Pokemon Pinball. That's my gold standard for video game pinball games. If you CAN'T save, how does it affect the "pick-up-and-playability" of the game? I like games I can play in little 15 minute bursts.
Still looking for another game (my collection is Nintendogs, Animal Crossing, Ouendan and Electroplankton).
If you can't tell I like kind of non-traditional games. Easy to pick up play and put down. Not really into RPGs, racers, strategy games, etc. right now.