I mean think about it: when those ice sheets--which may have been at minimum just over 1,000 feet thick at the higher latitudes--melted, the melted water had to go somewhere. Modern humans--homo sapiens sapiens--have been around for circa 150,000 years, and they were certainly around when the last of those great ice sheets melted, flooding huge swaths of land.
You're making presumptions. If Scripture is true, then such a term is meaningless. "civilization" only makes sense in the context of a multi-million-year-old Earth and the brutal macro-evolution that the Godless claim had to have happened to bring civilization about.