That is a very touchy question. In theory, I see no reason... There may be certain ethical, medical or scientific considerations of which I am not aware. In theory, if personal information protection laws are well crafted, they do not stand in the way of scientific advances.
It is important to distinguish between information that is truly personal, that is provided in a medical context, and other information that may be provided under other circumstances, for example, to Revenue Canada. Where privacy is concerned, it is important to look at the context.
Nevertheless, in theory, there is no reason why science could not benefit from human genome studies or why personal information could not still be protected at the same time.