Indeed. The Mongol invasion did not come from out of nowhere. The Parthians (ca. 200 BC - 200 AD) were famed both for the "Parthian shot" and Parthian tactics, i.e. horse archer tactics. (Mongol cavalry tactics are very similar.) In fact, most nomadic light cavalry were horse archers from ancient times on, the earliest European examples being the Cimmerians (bringing down the Hittites), Scythians (stopping Persian expansion north of the Black Sea) and Huns - all appearing in the present day Southern Russia/Ukraine region, the latter after the demise of the Xiongnu through military actions of Han China around 200 AD, if I'm not mistaken.