I am not sure I understand what you mean by could whine? I did have to replace my AC adapter because the one in the box would not work any more. Dell shipped another one out next day.
The XPS 13 looks like the perfect machine for me but all these coil whine reports scared me away from it. Then I found out a friend of mine bought one (the XPS 15 though), and when I asked him about it he said he never noticed anything.
I really can't tell if it's only on some machines or if most people simply don't notice/don't care.
The XPS 15 does not suffer from coil whine. However almost all the XPS 13's will have it. Some will be quite others will be really loud. Its a gamble and shame on Dell for not fixing it after so many complaints
Its a known problem with these laptops and while I'm used to it now, I find it a bit annoying.