Yes, a mobile CB can be used as a base station.  You will need a DC power supply and a base station antenna.

The power supply should have an output between 12 to 14 volts DC.  The power supply must be rated at 3 amps or more.

You will also need a CB base station antenna.  They are mounted on the outside of the house, similar to how a TV antenna is mounted.  DO NOT use a mobile antenna designed for a car, it will not work properly and will provide poor performance.  Indoor antennas also provide poor performance.  A properly mounted exterior base station antenna will provide very good performance.