These are random little examples that might work in theory. Sure, a car can idle for an hour without coolant probably in the winter, possibly.

I can't be driven on the street in any meaningful way anywhere but a Minnesota winter.

If you can't drive to work 20 miles away in 75 degree weather without coolant, than no a car can't run without coolant.

And no it can't run without oil in any meaningful way on the street for more than maybe 15 minutes.. so again, no Honda Toyotas are no built so well that they run without oil.