You are punished for changing the game time (no matter how much, it seems), but not the system time. Here's what happens:
If you change the time on your 3DS system, Animal Crossing seems to simply think that's the time it is now. Trees grow, events change, the only "bad" things that happen would have happened with the flow of time. Even going back in time via this method seems to work okay, even when going to a day previously played.
If you change the game time, using the option at the main menu of Animal Crossing, you will randomly trip for a while after changing the clock. The duration of tripping seems to last longer than the current play session, possibly the full day? But it eventually goes away. If, however, you were to change the game time this way before every play session you would trip randomly every single session, which is highly frustrating.
Also note that going backwards in time will spoil any turnips you had, since the game knows you went backwards, while it doesn't know you went forwards if you go by the system clock.
tl;dr: Change your 3DS's system time to time travel, do not mess with the in-game clock regularly or will will randomly trip.
I just got a wet suit tonight and attempted swimming to the "Main Street" area. There was a section of beach in my village that was previously inaccessible because I could not build a bridge there, but I was able to swim to it. Unfortunately, the beach ends abruptly with a cliff blocking access past the railroad bridge.
There are also very conspicuous boulders in the ocean blocking access towards Main Street, so it seems this is impossible (by design) by means of diving/swimming.
Best Answer
No, bugs won't spawn there. The trees and pond are fake, I don't believe you can even cast your rod in the pond. Bugs/fish only spawn in town, on the Island or during Island Tours (and only certain tours have catchable animals.)