Is it possible to construct Poynting vector from DC fields?

Hi guys!

Here is the question. Is it possible to construct Poynting vector from a DC electric field and a DC magnetic field as shown in Fig. 1 ?

Fig. 1.

Can this arrangement be used as a transmitter? If so what type of wave does it emit?

Greetings

I do not think so. Poynting vector is used with Maxwell Elecromagnetic theory on dynamic power transfer by EM alternating field. Static DC fields do not transmit any energy, so no Poynting applies.
DC fields do NOT transmit any waves as they are static. There is no link between electric and magnetic field when the field is not changing.