Does the university of alaska stretches 4 time zones

That does not appear to be the case anymore. Alaska is quite large longitudinally, and prior to 1983 the entire state did run across 4 time zones; however, the state is now on one main time zone, Alaska Time, with the exception of the Western, mostly uninhabited area of the Aleutian Islands, which follows Hawaii-Aleutian Time.

The University of Alaska has 3 campuses in Fairbanks, Anchorage and Juneau. All of those campuses are on Alaska Time, which is one hour behind Pacific Time.

The adoption of one main time zone causes some anomalies in the western most parts of Alaska. For example, in the far west of the time zone, a clock will legally say that it is noon, but based on solar time it is really 9:42am (during daylight savings it would even be 8:42am).