Do deer eat cabbage?

Something is eating our cabbage, starting at the top. (As opposed to
from the side.) Zuchinis also have been bitten, but apparently are

There are woodchucks and rabbits around, but I don't see any places
where the fence has been breached. And there are squirrels, who can
get over the fence. But, I have a trap right near the cabbage, and
it's usually hard to keep the squirrels out of it.

Which leaves (maybe?) deer. There's fresh 'sign' around, some near
(but outside) the garden. Would Bambi eat a cabbage?