In the 30's we mostly used orthochromatic film and silver chloride contact printing paper, not POP. POP was primarily used for proofs by portrait studios. if it was not fixed, which was the norm, it would begin to fade within a day or so and the entire image be gone in a few weeks.
The big difference in the look of the images is the ortho film. Since it is only sensitive to blue light the shadows are more open and reds record as very dark gray or black. I believe the Efke slow films are classed as "Ortho-panchromatic" which is the closest one can get in roll film to the roll film of the 30's.
Panchromatic film came into more general use with the introduction of Tri-X Pan. They also made Tri-X Ortho for some time after the introduction of the pan film.
Use of a blue filter on current films will come close to the look of ortho films.

As for contact paper, the only silver chloride paper available is from Michael Smith and Paula Chamlee. Their web site is

Making contact prints from panchromatic film on enlarging paper containing bromide will not give you the 30's look even with all of the bleaching, insufficient fixing and other manipulations mentioned in this string.