Not really. The Earth still revolves once a day, and goes around the Sun once a year, and the Moon still goes around the Earth once a month. We can change the way we divide these periods but the periods themselves are fundamentally physical.
Example: https://sunclock.net/#calendar
The weekends and month names/dividers are ‘artificial’, but all the other lines — the days, moon phases, the equinoxes, solstices, apsides — are natural.