Not usually, but there are exceptions. Santa may appear near Christmas. Jack and Sally from NBC are making a short appearance there next weekend, I believe.
Characters appear for special events - Agent P appeared a year or so ago, Hip hop mickey appeared at D Street within the last month, Stepsisters have appeared at the BBB - but outside of those very rare occurrences I wouldn't count on any during your trip.
Santa Goofy is the only regular character who starts making appearances on Christmas day through New years.
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