Maybe there's a specific spot on the planet where this would be true - like maybe some specific latitude and longitude where it'd be true for one day back to back that the sun would be in the same spot in the sky two days in a row at exactly the same time...

But almost everywhere else this isn't true - the sun rises and sets at different times each day. The place it rises and sets on the horizon is different each day. It takes a similar path to get from the point where it rises and the point where it sets, but it's not an identical path.