Time zone independent appointments and tasks

The following question was raised in responds to; Traveling between time zones

When I change time zones, I don’t want some appointments and tasks to be adjusted. For instance, I have a daily recurring task to take my medicine at 2PM and a weekly recurring appointment to hit the gym twice a week at 5PM. When I change time zones, they could suddenly fall in the middle of the night, which doesn’t make sense.

Can I create appointments and tasks with such “absolute times” so that they always happen at those times regardless of which time zone I’m in?