You will be affected. If you are just starting out a game, I would suggest pausing it. If you are very late into the game, I would not think it will have a huge effect on the game. Most problems that peeps have with time travel happens when they set their clocks back to the correct time. That is when you will get issues. So going up one hour should not affect your game too much, unless you are at the early stages of a new game.