In the PR segment of an ECG, how come there's no current flowing?
I'd suggest reading the rest of the Wikipedia article on EKG rather than focusing on the particular cartoon you are using right now, because that cartoon does not depict the dipoles that are measured.

The key interpretation that you are missing is that the signals measured are not voltage differences between intracellular compartments of the heart (like between the atria and ventricles, or between the depolarized and polarized part of one compartment), but a moving dipole created during polarization changes.

As the atria depolarize, there is a wave of negative extracellular charge as positive ions enter cells, creating a dipole: there is more negative charge at the most recently depolarized point than ahead of the wave where cells haven't yet depolarized. This is the signal you measure. If you were to pause this process at any moment, those extracellular charges are free to move and the potential dissipates quickly.

There is too much conductivity in the extracellular space for the dipole to be maintained without the rapid polarization changes that occur when ion channels open. You can think of this as a high-pass filter; the amplitude of the dipole measured would approach zero as the speed is reduced regardless of static differences in intracellular voltage measured against some reference.

This is what happens during the brief "pause" between atrial and ventricular contraction: there is still a dipole, but it is much smaller as it travels through the AV node than in the muscle and would only be measurable from local electrodes. You begin to see the signal again once the ventricles contract.

http://umdberg.pbworks.com/f/Hobbie-EKG-1.pdf may also be useful.