Although I tend to get excessive with the sheer number of stacks of units when I do my blitzkrieg challenges (I had like 20 or 30 I believe by the end of my England and France challenges) it is certainly possible in fact very easy to conquer the map with only 5 stacks.
You can do it with two stacks at a medium difficulty. Any two stacks of human-led troops can destroy an unlimited number of AI stacks, assuming they don't all attack on the same turn.
Mercenaries and generals replenish themselves, and with only two stacks and an aggressive campaign you never run out of money. The only question is how long it would take.
If you left your empire completely undefended, I question whether or not the computer would actually ever conquer your empire at all, or how long that might take.
One stack would also be possible, but it would take an excessively long time, and you would have to retreat sometimes to a safe place and recruit more mercenaries.
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