You can cheat the weather in this game in the same way as you do in FoMT/MFoMT. Simply save your game before you go to bed. When you awaken in the morning, watch the Weather Channel immediately.
If a hurricane or snowstorm is predicted for the next day, reload without saving. It is useful always to save your game before you go to bed at night. Although most Events will occur on sunny days, there are a few that actually require rain. You can control the weather here as in other Harvest Moon games by reloading until you obtain the result you desire.