Yep. Walking distance - about 2 mins!
It is actually an area of common land. Pastures. There are dips in the land were they have blasted for chalk in the past, and they are now full of trees and woods.
They graze cows on it in the summer. The race course is there too.
It's lovely, and you can buy an ice cream in the summer.
I used to walk about it for hours and hours when I was a kid.
Here are some more:
(these were at christmas..!)