I haven't tried composting those particular materials but they should generate
compost. Jean Pain composted with just wood chips but he had a huge pile (something like 15' diameter and 15' tall).
If I were trying it, I'd do the following:
Mix the food and wood chips fairly evenly.
50/50 mix or a bit heavier on the food scraps.
Ensure it's damp enough as you build the pile
Coil a 4" perforated plastic drain pipe under the pile with one end sticking out to let air in under the pile. If you do that there's a chance that the open spaces of the wood chips will draw air up through the pile and you won't have to turn it. That's how Jean Pain did his piles. But he didn't have kitchen scraps mixed in so that may hinder airflow. But it will certainly increase the speed of the decomposition.
If the air pipe doesn't give good aeration (and a hot pile) then you need to turn it. The more you turn it the quicker it composts. Every other week is better than every other month.
If the pile is big enough, it should keep cooking through the winter. If it works out, you could coil a
water line through the pile (like Jean did) to get free heat out of the pile. He heated his house with his pile...
Sorry I don't have direct experience with those materials. Good luck!