I have never combined the two, but it is possible. The main issue is that kibble takes a lot longer to digest than raw meat, and requires a higher pH. However, I am sure that refers to 'old fashioned' grain based, high carbohydrate kibbles, i don't know how different the modern quality kibbles with a high meat content and no grain would actually be.
People get around it by feeding kibble for breakfast and raw in the evening, leaving a gap between the two types of food.
Leaving a dried product like Ziwi peak would work, as long as they didn't gorge on it, mine find it a lot more palatable than kibble.
The other solution would be to feed minces (ground meat) when you are in a rush. Because they eat it so quickly, (it is gone as soon as the bowl hits the ground) there isn't time to fight. This is what I do with mine when I don't have time to supervise them, but all mine are good eaters, it wouldn't work if someone was fussy. I just ask them to sit, and wait. It is impossible to put 5 bowls down at once so they have to wait until they are told to eat, then they hoover up the food in a nano second. When it is all gone they spend a few minutes checking out the other empty bowls, but there is no guarding or growling like there is when they have food that takes longer to eat.