Sure do, you can just keep stacking, almost like in English. But where English just has "great great grandmother", In Swedish you can specify exactly which one

Sure do, you can just keep stacking, almost like in English. But where English just has "great great grandmother", In Swedish you can specify exactly which one of the eight people you mean, was it your "mormors farmor" or your "farmors mormor" perhaps? Or I could say something like my "farfars farfars mormors mormors morfars morfars farfar" was a Walloon immigrant to Sweden in the early 1600's, unlike my "farfars farfars farfars farfars farfars far" who was a German immigrant to Sweden in the late 1600's. However, in practice, it's very rare for people three generations back or more to be alive, so most people only have one or two of these, if any at all, and people usually prepend "gammel-" (lit. "old") in front. So if you have a "gammelfarmor", that's either your father's father's mother, or your father's mother's mother, or your mother's father's mother for example.