Yes. Every generation DNA is supposed to be randomly chopped up and exchanged between sister chromosome threads. Which should mean that if a great-great-great-grandmother has HLA A3, B6,C2,DR2 genes in line on a chromosome that set will gradually get separated and re-assorted with each generation. The process is slow so in populations you see genes being passed down in sets for many generations but over millions of years the sets could be randomly re-sorted.
'Linkage disequilibrium' is sometimes used to mean slightly different concepts but here I understand it to mean that for some reason a set of genes doesn't get split up as often as expected, or, often assumed, that it may get split up but there is a significant survival difference in chromosomes with the original set and those with the set split up. So you may end up with a population where A3,B6,C2 and DR2 keep showing up as a set even over millions of years presumably because this is a really good set to have.
Up until now linkage disequilibrium has mostly been seen as a nuisance in genetic studies - it means that it may be difficult to pin down which gene is really related to a disease. But linkage disequilibrium is itself of biological interest. It should be telling us something but often nobody is quite sure what.