There are two types of kosher wine—mevushal and non-mevushal. Both must be handled by Sabbath-observant Jews if the wine is to remain kosher.
Answer: False.
OK, this is a tough one. But, of the two, only non-mevushal kosher wine (kosher means "fit" and, thus, kosher wines are considered fit to drink) must be made, handled, bottled, certified, opened, poured, and drunk by Sabbath-observant Jews for the wine to keep its kosher status. Mevushal (literally, "cooked") kosher wine is a far more common type. It is made exactly the same way as non-mevushal wine except for one crucial fact—it's pasteurized and cantherefore be handled and consumed by non-Jews.