David wrote:
"Does such a current really exist?"

Yes. The sun is shining brightly here, so light is propagating in the
void between the sun and the earth. Normally this void does not conduct
such electric current as is involved in the energy flow from the sun.
Light is an EM wave.

EM wave propagationin a void requires a magnetic field to generate an
electric field which in turn generates a magnetic field and so on ad
infinitum.

The ability of a charge to repel a like charge at a distance without
conduction is displacement. It`s how a varying charge moves through a
capacitor which passes a current.

Best regards, Richard Harrison, KB5WZI