Days, seasons, years, aging, all happen without a clock or calendar. Yes, time exists.
Time as proscribed by clocks and calendars is a human construct as seen in the different cultural calendars in use around the world, Chinese, Jewish, Julian, Gregorian and my favorite the ever-changing Day Light Savings time. I can attest to the fact that the fish in east Tennessee don’t understand DLS. They understand sundown and insect hatches regardless of what your watch says. What that has to do with quantum physics I don’t know. But life was better when we all lived much as the fish in those mountain streams, ordering out lives by nature time, not mans.