1) Hypothetically, IF, there was a universe without any living creature, would there be time?
1a) I do not think so but the belief could change.
I would ask that you closely read #1) in my post.
Suppose a hypothetical universe that resembles our universe in everyway except that there are no living creatures.
time: an instance of something happening or being done; an occasion; an event
space, light, and stars are not living creatures
therefore, space, light, and stars exist
light changes position in space
a change in position in space is an event
therefore, time must exist
measure: travel over (a certain distance or area)
stars emit light in all directions
therefore, light travels from star to star
the distance between two particular stars is a certain distance
therefore, a measure exists
Living creatures do not need to exist for measures to exist because measures are simply things relative to other things. Every thing in the universe has a position relative to every other thing. They measure themselves according to each other by default without requiring the existence of any intelligence to comprehend it or to establish 'standard' measurements. In fact, the only thing an intelligence creature would do is create a standard measurement with which to reference all other measurements.
For example, when humans decided on the measurement of a foot, they decided on what a 'standard' foot was. They didn't decide what feet were. They didn't decide how long one foot was relative to another foot. All they did was decide to create a standard foot. They decided which measure, out of countless measures, that they would actually use. That's 'intelligence' at work.