Yes. The Winter Event is available every Christmastime. After the season ends, you can still ask players if they have extra gifts. Opening gifts gives you candy canes, which you can then take to the Candy Keeper at the Ski Chalet in Pocket D (I forget the cost, but it's cheap).
If you see me around in PChat, I have stored up plenty gifts on alts and would be happy to contribute. Just ask.