No. They are are of different nature.
The "lines" of latitude, longitude, reasoning, electric fields, and magnetic fields are imaginary.
When magnetic flux lines of force are cut by induced voltage between magnetic and electric currents. Electromagnetic induction is created.
Lines of Force
They are force field lines at right angles to each other as depicted in the related link.
-- Form a continuous circuit out of a conducting material. -- Move the conductor through the magnetic field, at an angle to the magnetic 'lines of force'.
The magnetic force of a magnet is strongest at its poles. This is because the field lines of the magnetic field are most concentrated at the poles where they enter and leave the magnet. At the poles the magnetic field is strongest and the force is the greatest. The north pole is where the magnetic field lines enter the magnet. The south pole is where the magnetic field lines leave the magnet. The magnetic field lines are most concentrated at the poles. The magnetic force is greatest at the poles.
The closer the magnetic field lines, the stronger the magnetic force in that area.
magnetic lines of force
cutting through magnetic lines of force produce electric current.
Lines of magnetic force are a human device for imagining them. There are no lines as such. The lines we draw are contour lines, analogous to lines of equal force. As to your question, the Magnetosphere is possibly that which you seek.
electric lines of force are imaginary lines defined by the paths traced by unit charges placed in an electric field. Lines of force are everywhere parallel to the electric field strength vector. Their principal use is as a convenient means of picturing the geometry of an electric field.
This phenomenon is due to "dip" or declination of the magnetic lines of force and vary with latitude. Only at the magnetic equator are the lines of force parallel to the surface.