Is it possible to interplant Kale with Bush Beans?

I have an area that I'd like to plant Kale (Pentland Brig) and Bush Beans (Dragon Tongue). I'd like to know if it's possible to sow them in a checker board pattern of 1 foot squares. 1 kale per square and 9 beans per square. Both are about 2 feet tall when mature. The kale will be sown in April and the beans in May - a 1 month head start. I'm concerned about whether the shade from the kale will prevent the beans from growing.

I grow Russian kale which gets closer to 3' tall.  But it takes a fair while to get that big.  I think, at least here, beans would be ok with a 4 week delayed start.