I think part of the problem here is the loose definition of "multi-tasking". It is true that, for instance, one who is used to doing so, can cook, take care of a baby, and talk on the telephone or watch television, etc., all at once, though usually with a diminution of efficiency in one or more of those tasks. In part that is because these are all tasks which come to have a fair degree of "automatic pilot" aspect to them, once learned, which allows the brain to focus specifically on any one of those tasks only when something out of the ordinary occurs: the water starts to boil, the baby starts to cry or picks up something we (even in a largely distracted state) recognizes as hazardous, etc.
On the other hand, genuine "multi-tasking", which requires cognitive skills, assessment of factors, formulation of action, and conscious execution, is largely unattainable because with so much of this, the same areas of the brain are going to be required to be paying attention to and appropriately responding to several types of conflicting information simultaneously. The brain simply isn't evolved to handle that sort of thing; again, in part because it was evolved to insure our responding immediately and with appropriate action to danger in order to survive and propagate... without which, those mechanisms would not be passed on. And, from my understanding of what we've found neurologically, this is a very basic part of the structure of the brain itself, something which has been with us since long before we were human. It is something we share with most mammals, as well as a host of other types of animals, in varying degrees.
There may come a time when we are able to function on this sort of level, but (barring deliberate mucking about with such fundamental factors of brain structure genetically), it is likely to require millions of years and an immeasurably stronger survival pressure than our piddling technological dependencies can bring to bear in order to come about... and if it does, the very fact that it will require such major changes makes the question of whether we would then even be what we would recognize as "human" a rather major point....