There is no Hero class for Hideouts & Hoodlums that is tailored specifically for emulating Tarzan-like characters, but the Explorer class (from The Trophy Case v. 1 no. 2) comes close. This sub-class of Fighter loses the "combat machine" special ability of the Fighter, but picks up a tracking ability and, at higher levels, animal companions. I also use that class for big game hunter-type characters.
Apparently, in this first feature, Jungle Boy fights a lion. That's a tough fight for a first-level Hero!
Now, at one point, while preparing H&H material, I was able to find online an image from the first installment of Stratosphere Special, 2036 AD.
Found it! Yes, my notes were pretty good! "(mobster) moon men (4’ tall, gray-skinned, bald, naked men with pointy ears and bugged-out eyes), moon has breathable atmosphere, but also low gravity and barren."
Since "Stratosphere Special" was only one-panel art, that must have been some panel!
Moon men debuted, for H&H, in Supplement I: National, though the stats for them were based on the moon men in a later Zatara adventure. I'm not sure if I would stat these little fellows any differently, though.