building on top of buried fiber optic cable

Doubtful without checking why the Fiber is there. Does it happen to be located in an Easement area? Does it happen to have 1 or more white poles with orange tops as pictured below:

Dave

is it possible to get the cable moved

You can't build on top of the Fiber cable. Those marker poles normally mark the center line and indicate a coverage area of 3 feet on either side of the path. If it is located in an easement which it should be currently located No. It could be a pubic utility easement or a private easement agreed to with a previous or existing property owner.

You need to examine the registered property survey map and/or an official title search report for details. It would cost many thousands of dollars to relocate unless it is located in error which is very doubtful.

Dave

could a driveway be put on it?

Maybe but again the Easement legal description language may limit your options above ground in addition to below ground. Again, you need to examine the registered property survey map and/or an official title search report for details of the existing easement(s).

Is the Fiber line located near a public right of way (road or highway) or in the middle of the property boundaries? What type of driveway; gravel, asphalt or concrete? What State is the property located in?

Most public utility easements allow you to have an access over the easement. For example to cross the easement at 90 degrees for access the property but not over an extended section of the existing Easement. Worst case you may be charged for any expense to remove your improvements over the Easement to allow for Easement access and you will be responsible for the replacement of your improvements (driveway) in this example.

Dave