No. The word "Ukraine" - "Ukraina/Okraina" in Slavic languages, from the word "Krai" ("margin", "periphery") just means "Borderland" (often unspecific "periphery", like Krasnodarkiy krai). As a term for designation of the specific (Ukrainian) territory it was used by in Polish language and meant Russian territories (with Russian population) occupied by Poland.
Russia had started to return those lands (and liberate its Russian population) since 17th century. So, the word Ukraina in some way can be translated also, as a "frontier". "Wild West" with Turks, Poles, Swedes, Germans and other Western Barbarians as some sort of "Indians", Cossacks as Cowboys and Regular Russian Army as US Cavalry. Very rude analogy, but, I hope, understandable.