When you “manage” something, it suggests that you have some amount of influence over it.

When you manage other people - they are supposed to listen and do what you ask them to do.

You don’t have complete control, but you make decisions that affect what they do.

So how much influence do you have over time?
Can you tell it to slow down or speed up?
Can you get it to wait for you?

“Time and tides wait for no one.”

No, you can’t “manage” time.