Two magnetic field lines can not intersect each other because
One point can not show multiple poles
We know that the tangent at a point on the magnetic field lines gives the direction of the magnetic field at that point. So, if the magnetic field lines intersect at a point there will be two tangents at that point which gives two different directions of the magnetic field at that point, which is not possible.
Even if the magnetic field lines are weak the magnetic compass will point in only one direction.
Hence, two magnetic field lines cannot intersect each other.