Twinkies are made up almost entirely (by mass) of the things listed above. The only major thing missing is sugar.
Sugar, Water, Enriched Flour, High Fructose Corn Syrup (sugar), Tallow (animal fat/oil), Dextrose (sugar, from the HFCS), Egg
Twinkies are >98% sugar, flower, oil, with a little bit of egg.
You could substitute the tallow with other similar kinds of oils if you wanted, like say coconut oil.