What seems more accurate is that there were people near the Vistula River around year 1 who had cultural, linguistic, trade and - yes - genetic connection to people on the other side of the Baltic sea, and in the age of migration those people got moving, got into Arian Christianity and called themselves Goths. They did comparatively well in a time when most of Europe didn't, so they have plenty of descendants, many of them carrying ancestry we can trace back to people who lived in Scandinavia before year 1.