you can enable debug mode and hyperspeed in the Connection series by taking the tamagotchi apart, shorting the debug jumper, and then putting it back together (though it's hazardous on the V4/V4.5 because you can't turn hyperspeed off without going back in and removing the debug mode short afterwards, and requires a soldering iron if you want to debug a V5), but i don't think there's a way to do something like that in any of the more recent ones
the only thing i can think of besides that is if your tamagotchi grows from a baby to child stage late so it would go to sleep before evolving to the teen and adult stage, you can set the clock back to wake it up at the time it would evolve if it wasn't sleeping, that will let it evolve if you don't want to wait until morning for it to evolve, but that isn't really speeding it up so much as preventing it from taking longer than it would otherwise