Is the earth experiencing a pole shift right now?

YES!!! It has always had a 'pole shift'.

If you look on any sophisticated map , there will be a key indicating true (Axial) North and Magnetic North.

The Magnetic North will have an indication on it showing it is increasing/decreasing by so much per year. So the magnetic pole is shifting.

Also, the true(axial) north is shifting too. This is because of 'Precession'. This is because the Earth spins on a daily basis, and the axis (Poles) counter spins much more slowly. So the poles are shifting.

NB Spin a gyro. Notice ,whilst spinning the gyro appears to 'wobble' , this is precession, and the Earth does exactly the same.